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The sum of the first five terms of a Geometric Sequence is 155 and the fifth term is 80. What is the 6th term?

 Jul 4, 2017
 #1
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5, 10, 20, 40, 80, 160, 320, 640......and so on.

1st term=5, common ratio=2

 Jul 4, 2017
 #2
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The sum of the first five terms of a Geometric Sequence is 155 and the fifth term is 80. What is the 6th term?

 

a1- first term. an=qn-1*a1. Sum of first 5 terms- a1*(q5-1)/(q-1)=155

 

fifth term=80=a5=a1*q4----->a1=80/q4

 Jul 4, 2017

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