How do you write the first five terms of the geometric sequence a_1=6, r=-1/4a1=6,r=−14?

1 Answer
Jim G.
Aug 9, 2017

6,-3/2,3/8,-3/32,3/1286,−32,38,−332,3128

Explanation:

"the terms in a geometric sequence are"the 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"

"to obtain any term in the sequence multiply the previous"
"term by r"

a_1=6

a_2=6xx-1/4=-3/2

a_3=-3/2xx-1/4=3/8

a_4=3/8xx-1/4=-3/32

a_5=-3/32xx-1/4=3/128

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