Question

Consider the terms in the sequence: {4,32,256,2048,16,384,…}

Common ratio of the sequence:
first term in the sequence:
recursive rule in function notation that describes the sequence:

Answer 1

Common ratio is 8.

First term is 4

Recursive:

Explanation:

Answer 2

Common ratio is 8.

First term is 4

Recursive:

`a_n=8a_(n-1)</p><p> \: a_1 = 4</p><p>`

Explanation:

The given sequence is:

{4,32,256,2048,16,384,…}

The common ratio of this sequence is obtained by dividing a term in the sequence by a previous term.

This is given by:

`r = (32)/(4) = 8`

The term of the sequence is the term that begins the sequence.

This is 4.

The recursive definition is given by:

`a_n=ra_(n-1)</p><p>`

This implies that:

`a_n=8a_(n-1)</p><p> \: a_1 = 4</p><p>`