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3 years ago

7

What is the recursive formula for this geometric sequence? -4,-24,-144,-864,...

1 answer:

balandron [24]3 years ago

7 0

$\bf -4~~,~~\stackrel{-4\cdot 6}{-24}~~,~~\stackrel{-24\cdot 6}{-144}~~,~~\stackrel{-144\cdot 6}{-864}~\hfill \impliedby \begin{array}{llll} \textit{we're multiplying by 6 the previous}\\ \textit{term(n-1) to get the current one} \end{array} \\\\[-0.35em] ~\dotfill\\\\ a_n = a_{n-1}(6)\qquad for~~a_1=-4~~,~~n>2\qquad \impliedby \textit{recursive formula}$

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Which table of values is correct for the equation y = 5(2)x

Tems11 [23]

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Option D is correct.

x y

0 5

1 10

2 20

Step-by-step explanation:

Given the equation: $y = 5(2)^x$ .....[1]

Here, x is the input variable and y is the output variable.

For x =0

Substitute in equation [1]; we have;

$y = 5(2)^{0} = 5 \cdot 1= 5$

For x = 1

Substitute in equation [1]; we have;

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For x =2

Substitute in equation [1]; we have;

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Therefore, the table values which is correct for the equation $y = 5(2)^x$ is;

x y

0 5

1 10

2 20

5 0

3 years ago