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3 years ago

Given the table below, determine the initial value/y intercept. PIC IS ABOVE! ANSWER!

Mathematics

2 answers:

Nikolay [14]3 years ago

5 0

Answer:

The initial value is the y value when x is zero. Look at the table to help you determine the y value when x is zero and that is your answer.

Step-by-step explanation:

garik1379 [7]3 years ago

5 0

<h2>Answer:</h2><h2>A:0 is the correct answer to this question </h2>

<h2>MARK ME AS A BRAINLIST AND FOL-LOW ME </h2>

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If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.

Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have $S_1=3\times2^{1-1}+2(-1)^1=3-2=1$ , which agrees with the initial value <em>S</em>₁ = 1.

• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume

$S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}$

and

$S_k=3\times2^{k-1}+2(-1)^k$

We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or

$S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}$

From the given recurrence, we know

$S_{k+1}=S_k+2S_{k-1}$

so that

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)$

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}$

$S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)$

$S_{k+1}=3\times2^k-2(-1)^k$

$S_{k+1}=3\times2^k+2(-1)(-1)^k$

$\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}$

which is what we needed. QED

6 0

3 years ago

Actual

Katena32 [7]

Answer:

Step-by-step explanation:

so first you multiply how much she jogged then put the in infront of the number

3 0

3 years ago

Alvin is heating a solution in his chemistry lab. The temperature of the solution starts at 14°C. He turns on the bumer and find

iren2701 [21]

Answer:

C. (3,20)

Step-by-step explanation:

5 0

3 years ago

Plz help i beg uu. Will give branliest

icang [17]

I think the answer would be C :$:$:$:$:$:$:$:$:&:$

4 0

3 years ago

Read 2 more answers

How to solve Which ordered pair is a solution for x − 3y = 1?

babunello [35]

There is no one answer (ordered pair) to this equation and the answer is found by graphing or trying out different values for each variable. Anyway, here are some solutions; (1,0), (4,1), (0,-1/3).

5 0

3 years ago