Identify the Sequence -4 , -40 , -400 , -4000

$- 4$ , $- 40$ , $- 400$ , $- 4000$

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 $10$ gives the next term. In other words, $a_{n} = a_{1} r^{n - 1}$ .

Geometric Sequence: $r = 10$

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 $r = 10$ .

$a_{n} = - 4 \cdot 10^{n - 1}$

Identify the Sequence -4 , -40 , -400 , -4000

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