Algebra Examples

6

$6$ ,

24

$24$ ,

96

$96$

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

$4$ gives the next term. In other words,

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

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

Geometric Sequence:

r = 4

$r = 4$

Step 2

This is the form of a geometric sequence.

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

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

Step 3

Substitute in the values of

a_{1} = 6

$a_{1} = 6$ and

r = 4

$r = 4$ .

a_{n} = 6 \cdot 4^{n - 1}

$a_{n} = 6 \cdot 4^{n - 1}$

6, 24, 96

$6, 24, 96$

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