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

1 Answer
Dec 18, 2015

Answer:

Yes it is, with initial term #10# and common ratio #0.5#

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)#

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