Identify the Progression 6 , 12 , 24 , 48

$6$ , $12$ , $24$ , $48$

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 $2$ gives the next term. In other words, $a_{n} = a_{1} r^{n - 1}$ .

Geometric Sequence: $r = 2$

Step 2

This is the form of a geometric sequence.

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

Step 3

Substitute in the values of $a_{1} = 6$ and $r = 2$ .

$a_{n} = 6 \cdot 2^{n - 1}$

Identify the Progression 6 , 12 , 24 , 48

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