Identify the Sequence -9 , -18 , -36 , -72

$- 9$ , $- 18$ , $- 36$ , $- 72$

Step 1

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by $2$ gives the next term. In other words, $a_{n} = a_{1} r^{n - 1}$ .

Geometric Sequence: $r = 2$

Step 2

This is the form of a geometric sequence.

$a_{n} = a_{1} r^{n - 1}$

Step 3

Substitute in the values of $a_{1} = - 9$ and $r = 2$ .

$a_{n} = - 9 \cdot 2^{n - 1}$

Identify the Sequence -9 , -18 , -36 , -72

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