Create an explicit equation for each recursively-defined sequence below.

t (1) = 3, t (n + 1) = 5 * t (n)

Question

Biology

Alisa Sawyer

2 October, 01:39

Create an explicit equation for each recursively-defined sequence below.

t (1) = 3, t (n + 1) = 5 * t (n)

+2

Answers (2)

Know the Answer?

Lucy Cruz · Answer 1

t (n) = 3·5^ (n-1)

Explanation:

im guessing this may not be right ...

Sherlyn Conley · Answer 2

t (n) = 3·5^ (n-1)

Explanation:

The recursive formula describes a sequence in which each term is 5 times the one before it. This is a geometric sequence with common ratio 5 and a first term that is said to be 3.

As you know, the generic formula for a geometric sequence is ...

an = a1·r^ (n-1)

For a1 = 3, r = 5, and a sequence named "t", this is ...

t (n) = 3·5^ (n-1)

Create an explicit equation for each recursively-defined sequence below.t (1) = 3, t (n + 1) = 5 * t (n)

Create an explicit equation for each recursively-defined sequence below.

t (1) = 3, t (n + 1) = 5 * t (n)