# How do you write the first five terms of the geometric sequence #a_1=1, r=1/3#?

##### 1 Answer

Mar 6, 2017

#### Explanation:

The standard terms in a geometric sequence are.

#a,ar,ar^2,ar^3,....,ar^(n-1)# where a is the first term and r the common ratio.

Each term in the sequence is obtained by multiplying the previous term by r, the common ratio.

#a_1=1#

#rArra_2=1xx1/3=1/3#

#rArra_3=1/3xx1/3=1/9#

#rArra_4=1/9xx1/3=1/27#

#rArra_5=1/27xx1/3=1/81#

#"The first five terms are "1,1/3,1/9,1/27,1/81#