Consider the sequence below.

3, 1, 1/3, 1/9, ...

Select the explicit function which defines the sequence.

Question

Mathematics

Malakai Watts

21 October, 12:04

Consider the sequence below.

3, 1, 1/3, 1/9, ...

Select the explicit function which defines the sequence.

+4

Answers (1)

Know the Answer?

Howard Barrera · Answer 1

As we can see it's a geometric progression.

q = a2/a1

q = 1/3

so,

an = a1. q^ (n - 1)

an = 3. (1/3) ^ (n - 1)

The one which matches is f (n) = 3. (1/3) ^ (n - 1)

Alt C.

Consider the sequence below.3, 1, 1/3, 1/9, ...Select the explicit function which defines the sequence.

Consider the sequence below.

3, 1, 1/3, 1/9, ...

Select the explicit function which defines the sequence.