# How do you find the first five terms of the geometric sequence #a_1=2# r=-3?

##### 1 Answer

Apr 23, 2017

#### Explanation:

#"the terms in a geometric sequence are"#

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

#"where r is the common ratio"#

#r=a_2/a_1=a_3/a_2= ...... =(a_n)/a_(n-1)# To obtain a term in the sequence multiply the previous term

by r

#rArra_1=2#

#rArra_2=2xx-3=-6#

#rArra_3=-6xx-3=18#

#rArra_4=18xx-3=-54#

#rArra_5=-54xx-3=162#