Identify the Sequence 2 , -2 , 2 , -2 , 2

$2$ , $- 2$ , $2$ , $- 2$ , $2$

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

Geometric Sequence: $r = - 1$

Step 2

This is the form of a geometric sequence.

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

Step 3

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

$a_{n} = 2 {(- 1)}^{n - 1}$

Identify the Sequence 2 , -2 , 2 , -2 , 2

Related Questions

Support LCMGCF.com by disabling your adblocker.