# How do you write the first five terms of the geometric sequence #a_1=1, r=1/2#?

##### 2 Answers

Jul 26, 2017

#### Explanation:

Geometric sequences are defined by the formula

When

When

Jul 26, 2017

#### Explanation:

#"the standard terms of a geometric sequence are"#

#a,ar,ar^2,ar^3,........ ,ar^(n-1)#

#"where a is the first term and r the common ratio"#

#"to obtain a term in the sequence multiply the previous"#

#"term by r"#

#"here "a=a_1=1" and "r=1/2#

#a_1=1#

#a_2=1xx1/2=1/2#

#a_3=1/2xx1/2=1/4#

#a_4=1/4xx1/2=1/8#

#a_5=1/8xx1/2=1/16#