Question

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Write the recursive form equation given the explicit
an=5(2)n−1


ANSWER CHOICES:
an=an−1⋅ 2an=an−1⋅ 2

an=an−1+2A sub n is equal to A sub n minus 1 plus 2

an=an−1+5A sub n is equal to A sub n minus 1 plus 5

an=an−1⋅ 5

Answer 1

In recursive form, we could write a(n + 1) = 2a(n) with a(1) = 5.

Explanation:

If you meant a(n) = 5(2)^(n - 1), then you have a geometric series with first term 5 and common ratio 2. Each new term is 2 times larger than the previous term.

In recursive form, we could write a(n + 1) = 2a(n) with a(1) = 5.

Example: If a(1) = 5, the next term, a(1 + 1), or a(2), is 5*2, or 10.