HISTORY MIDDLE SCHOOL

Consider the sequence -2, 6, -18,54Select all of the statements that are true for the sequence.

Answers

Answer 1

Answer:

Answer:

The sequence is geometric

The recursive formula for the sequence is:

$A_n=\cdot A_(n-1)\cdot -3, A_1=-2$

The explicit formula for the sequence is

$A_n= - 2 {( - 3)}^(n - 1)$

Explanation:

The given sequence is -2, 6, -18,54

There is a common ratio of

$r = (6)/( - 2) = ( - 18)/(6) = (54)/( - 18) = - 3$

Since there is a common ratio, the sequence is geometric.

The first term of this sequence is

$A_1=-2$

The recursive definition is given by:

$A_n=r\cdot A_(n-1)$

We substitute r=-3 to get,

$A_n= - 3\cdot A_(n-1)$

The explicit formula is

$A_n= - 2 {( - 3)}^(n - 1)$

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Answers

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Explanation:

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Explanation:

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