Which of the following best describes the pattern in the diagram as you move
from left to right?
Answer:Each step in this pattern increases by on block
Step-by-step explanation:
1-1 block
1-2 block
3-3
4-4
PLEASE EXPLAIN (Arithmetic Sequences )
If u59 = 1/10 and u100 = 1 19/20 for an arithmetic sequence, find the first term and the common difference
If I was given the explicit formula how to I find the recursive formula?
9514 1404 393
Answer:
solve for f(n) in terms of f(n-1)
Step-by-step explanation:
In general, you solve for f(n) in terms of f(n-k) for k = 1, 2, 3, ....
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Usually, such questions arise in the context of arithmetic or geometric sequences.
Arithmetic sequence
The explicit formula for an arithmetic sequence has the general form ...
a(n) = a(1) +d(n -1) . . . . . . . first term a(1); common difference d
The recursive formula for the same arithmetic sequence will look like ...
a(1) = a(1) . . . . . . . the first term is the first term
a(n) = a(n-1) +d . . . the successive terms are found by adding the common difference to the term before
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Note: The explicit formula may be given as the linear equation a(n) = dn +b. Then the first term is a(1) = d+b.
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Geometric sequence
The explicit formula of a geometric sequence has the general form ...
a(n) = a(1)·r^(n -1) . . . . . . first term a(1); common ratio r
The recursive formula for the same geometric sequence will be ...
a(1) = a(1) . . . . . . the first term is the first term
a(n) = a(n-1)·r . . . the successive terms are found by multiplying the term before by the common ratio
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Note: The explicit formula may be given as the exponential equation a(n) = k·r^n. Then the first term is a(1) = kr.
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Other sequences
Suppose you're given the quadratic sequence ...
a(n) = pn^2 +qn +r
Since the sequence is known to be quadratic (polynomial degree 2), we expect that we will only need the two previous terms a(n-1) and a(n-2). Effectively, we want to solve ...
a(n) = c·a(n-1) +d·a(n-2) +e
for the values c, d, and e. Doing that, we find ...
(c, d, e) = (2, -1, 2p)
So, the recursive relation is ...
a(1) = p +q +r
a(2) = 4p +2q +r
a(n) = 2a(n-1) -a(n-2) +2p
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Additional comment
The basic idea is to write the expression for a(n) in terms of terms a(n-1), a(n-2) and so on. That will be easier for polynomial sequences than for sequences of arbitrary form.
There are some known translations between explicit and recursive formulas for different kinds of sequences, as we have shown above. If you recognize the sequence you have as being of a form with a known translation, then you would make use of that known translation. (For example, Fibonacci-like sequences are originally defined as recursive, but have explicit formulas of a somewhat complicated nature. If you recognize the form, translation from the explicit formula may be easy. If you must derive the recursive relation from the explicit formula, you may be in for a lot of work.)
(Multiple choice/ brainiest will be given)
Can I please get some help with this answer?
Answer: d
Step-by-step explanation:
If the area of a rectangle is x2 – 13x + 40, what are the lengths of
the two sides?
Answer:
5 and 8
Step-by-step explanation:
quadratic formula.
-(b)+sqrt(b)^2-4(a)(c)
^ans
divide the whole thing by 2(a).
If the formula isn't clear, search quadratic formula up.
What is 6 1/3−1 2/3?
Answer:
4 2/3!
Step-by-step explanation:
Answer: [tex]4 \frac{2}{3}[/tex]
Step-by-step explanation:
Lets start by subtracting 6 by 1.
6 - 1 = 5
Now we need to subtract 1/3 by 2/3. Which means we will need to take one from the 5 and add it to the 1/3. So we get [tex]1 \frac{1}{3}[/tex]. Now we subtract 1 1/3 by 2/3. The answer to that is 2/3.
So our answer is 4 2/3
What is the measure of angle x? Show or explain how you know.
Answer:
65 degrees
Step-by-step explanation:
y is a right angle and a is 30 degrees. this means that the supplementary engle of x is 45 plus 70 which is 115. 180-115 = 65 degrees.
Help! I'm not sure how to do it
What is the perimeter, in terms of x, of the triangle shown here?
(7x2 - 12)
(-5x + 30)
(3x2 + 4x)
Answer:
The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]
Step-by-step explanation:
We need to find perimeter, in terms of x, of the triangle shown here.
The length of side 1: [tex](7x^2 - 12)[/tex]
The length of side 2: [tex](-5x + 30)[/tex]
The length of side 3: [tex](3x^2 + 4x)[/tex]
The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]
Putting values and finding perimeter:
[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]
So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]
i need help please!!
Answer:
Step-by-step explanation:
do the thing times 2
Jerome deposits $3,700 in a certificate of deposit that pays 1.8% interest, compounded
annually. How much interest does Jerome earn in 1 year?
Answer:
$66.60
Step-by-step explanation:
Find out how much money Jerome earns from the 1.8% interest.
100% = 3700
1% = 3700 ÷ 100 = 37
1.8% = 37 x 1.8 = 66.60
(Final answer)
What is x in 8x - 5 = -37
Answer:
If i'm doing this correctly it is 6?
Step-by-step explanation:
Answer:
x= -4
Step-by-step explanation:
8x - 5 = -37
+ 5 +5 add five to both sides of the equation so you can isolate the x
8x = -32
/8 /8 then divide 8 by both sides of the equation
x = -4
and then you get ur answer
Hope this helps :)
What is the percent error for a measurement of 5 yards?
Write your answer using a percent sign (%). For example, 0.5%, 12.7%, or 56%.
20 POINTS
A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be, to the nearest cent, after 14 years.
Answer:
$3573. 64
Step-by-step explanation:
Convert 11.25% to the decimal fraction 0.1125. Then subtract this result from 1.0000: 0.8875.
After 14 years, the formerly $19000 car will have the value
$19000(0.8875)^14 = $3573. 64
In 2009, a town's population was about 9,000 residents. In 2014, the population was about 12,500 residents. Which linear model represents the town's population, p, as a function of t, the time in years after 2007
Answer:
Population function (Based on 2007) = 7,600 + 700n
Step-by-step explanation:
Given:
Population in 2009 = 9,000
Population in 2014 = 12,500
Computation:
Increase in population per year = [12,500 - 9,000] / 5
Increase in population per year = 700
Population in 2007 = 9,000 - [2 x 700]
Population in 2007 = 7,600
Population function (Based on 2007) = 7,600 + 700n
n = number of year
Answer:
p(t)=700t+7600
Step-by-step explanation:
Find the area of the shape shown below plz help
Answer:
60? I'm really not sure mate, i'm really sorry if it's wrong.
Step-by-step explanation:
40+40x0+1=
a.81
b.21
c.41
Answer:
C.41
Step-by-step explanation:
Thats the answer!!
please help me prove the identity
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
Jireh flew his crop duster from the ground to an altitude of 3,500 feet. He continued to fly at that height for 20 minutes until he descended to 2,000 feet. He then flew back to the ground and landed his plane.
Which part of the scenario is best represented by a linear increasing interval?
Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Jireh flew at 3,500 feet for 20 minutes.
Jireh descended to 2,000 feet.
Jireh landed his plane.
Answer: Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Step-by-step explanation:
That is an example of an increasing interval.
Answer:
a
Step-by-step explanation:
-10,-17, -24, -31, -38, ...
a) Common Difference:
b) Recursive Formula:
c) Explicit Formula:
d) 843
Please help don’t know answer
Answer: Slope: 2/3
y-intercept: 9
Step-by-step explanation:
which of the following choices is a possible length for DF? 17 39 19
Answer:
39
Step-by-step explanation:
Which inequality is equivalent to this one? I WILL GIVE BRAINLEIST
y minus 8 less-than-or-equal-to negative 2
y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
y minus 8 + 8 less-than negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
Answer:
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
Step-by-step explanation:
Which inequality is equivalent to this one?
y minus 8 less-than-or-equal-to negative 2
y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
y minus 8 + 8 less-than negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
Take the last option:
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
remove the +2 on each side to get
y minus 8 less-than-or-equal-to negative 2
if a gradient is 0, then what is the equation for it?
Answer:
y = c
Step-by-step explanation:
A line with a gradient of 0 is a horizontal line, parallel to the x- axis
Its equation is y = c
where c is the value of the y- coordinates the line passes through.
Neeeeddddd helllppp nowwwwww!!!!
Answer:
the area is 670.32 but it's not in there
What is the complement of 45?
Answer:
45°
Step-by-step explanation:
If sum of two angles is 90° , then they are called complementary angles.
Complement of 45 = 90 - 45 = 45
9x3^15 can be written as 3^n. What is the value of n
Answer:
so n=17
Step-by-step explanation:
9=3²
3²×3¹⁵= 3¹⁷
please mark the brainliest❤❤
PLEASE HELP
The Linear function m=45-8b represents The amount m (in dollars) money that you have after buying b books. select all the values that are in the domain of function.
Answer:
b = {0, 1, 2, 3, 4, 5}
Step-by-step explanation:
The domain of a function is simply all the possible values the independent variable can assume that the function will work and will give a real number.
In this question, we have:
m = 45 – 8b
b is the independent variable because the money, m, depends on the number of books, b, bought.
Since we can't have negative value for m as it represents an amount of money, then the values b can assume can be gotten through:
45 – 8b = 0,
8b = 45
b = 45/8 = 5.625
For the m, money, to remain positive b shouldn't go beyond 5.625
Also we should note that b, books, can't be a negative (no such thing as negative books) or a fractional value (no such thing as buying parts of a book) as well. Therefore, b = {0, 1, 2, 3, 4, 5}
15 songs that are the saame lenght are preformed during a concert. if the concert lasts 27 minutes and 30 seconds, how long is each song?
which expression is equivalent to (4") - 3?
A(4 + 4 + 4) - 3
B(4.4.4) - 3
C(3.3.3.3) - 3
D (3+3+3 + 3) - 3
The value is 48 points
Answer:
3+3+3+3
Step-by-step explanation:
it's ans is 3+3+3
Answer:
I think the answer is D.
sorry if I'm wrong..