Identify the Progression 4 , -16 , 64 , -256

$4$ , $- 16$ , $64$ , $- 256$

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 $- 4$ gives the next term. In other words, $a_{n} = a_{1} r^{n - 1}$ .

Geometric Sequence: $r = - 4$

Step 2

This is the form of a geometric sequence.

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

Step 3

Substitute in the values of $a_{1} = 4$ and $r = - 4$ .

$a_{n} = 4 {(- 4)}^{n - 1}$

Identify the Progression 4 , -16 , 64 , -256

Related Questions

Support LCMGCF.com by disabling your adblocker.