Identify the Progression 3 , 12 , 48 , 192

$3$ , $12$ , $48$ , $192$

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 $a_{1} = 3$ and $r = 4$ .

$a_{n} = 3 \cdot 4^{n - 1}$

Identify the Progression 3 , 12 , 48 , 192

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