Identify the Sequence 2 , 10 , 50 , 250 , 1250

$2$ , $10$ , $50$ , $250$ , $1250$

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 $5$ gives the next term. In other words, $a_{n} = a_{1} r^{n - 1}$ .

Geometric Sequence: $r = 5$

Step 2

This is the form of a geometric sequence.

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

Step 3

Substitute in the values of $a_{1} = 2$ and $r = 5$ .

$a_{n} = 2 \cdot 5^{n - 1}$

Identify the Sequence 2 , 10 , 50 , 250 , 1250

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