Identify the Sequence 7 , -21 , 63 , -189

$7$ , $- 21$ , $63$ , $- 189$

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 $- 3$ gives the next term. In other words, $a_{n} = a_{1} r^{n - 1}$ .

Geometric Sequence: $r = - 3$

Step 2

This is the form of a geometric sequence.

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

Step 3

Substitute in the values of $a_{1} = 7$ and $r = - 3$ .

$a_{n} = 7 {(- 3)}^{n - 1}$

Identify the Sequence 7 , -21 , 63 , -189

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