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 Given these terms in a geometric series: 160-96+288/5-864/25+...

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Given these terms in a geometric series: 160-96+288/5-864/25+...

a. What is the common ratio ?

b. What is the 8th term ?

c. What is the sum of the first 8 terms of this series? Show your substitution into the Explicit Formula for the sum of this series for the first 8 terms.

 

Please Include All Work

 Nov 23, 2020

Best Answer 

 #1
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a. 96 / 160 ==6/10 common ratio

 

b. 160 *  (6/10)^7 =69,984 / 15,625 - the 8th term

 

a(n) = a(n - 1) * 6 / 10 - Explicit Formula.

 

c. 160, 96, 288/5, 864/25, 2592/125, 7776/625, 23328/3125, 69984/15625==6145024 / 15625 - Total sum.

 Nov 23, 2020

1+0 Answers

 #1
avatar
+2
Best Answer

a. 96 / 160 ==6/10 common ratio

 

b. 160 *  (6/10)^7 =69,984 / 15,625 - the 8th term

 

a(n) = a(n - 1) * 6 / 10 - Explicit Formula.

 

c. 160, 96, 288/5, 864/25, 2592/125, 7776/625, 23328/3125, 69984/15625==6145024 / 15625 - Total sum.

Guest Nov 23, 2020

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