Identify the Sequence 9.6 , -4.8 , 2.4 , -1.2 , 0.6

$9.6$ , $- 4.8$ , $2.4$ , $- 1.2$ , $0.6$

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 $- 0.5$ gives the next term. In other words, $a_{n} = a_{1} r^{n - 1}$ .

Geometric Sequence: $r = - 0.5$

Step 2

This is the form of a geometric sequence.

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

Step 3

Substitute in the values of $a_{1} = 9.6$ and $r = - 0.5$ .

$a_{n} = 9.6 {(- 0.5)}^{n - 1}$

Identify the Sequence 9.6 , -4.8 , 2.4 , -1.2 , 0.6

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