Is 10, 5, 2.5, 1.25, 0.625, 0.3125 a geometric sequence?

1 Answer
Dec 18, 2015

Yes it is, with initial term 1010 and common ratio 0.50.5

Explanation:

Each term of a geometric sequence is equal to the previous term multiplied by the common ratio.

In the example sequence, each term is one half of the preceding term, so it is a geometric sequence.

The general term of this sequence is given by the formula:

a_n = a r^(n-1)an=arn1

where a=10a=10 and r=0.5r=0.5