Question

7. In a convergent geometric series the common ratio is r and the first term is 2. Given that $S_infty = 16 imes S_3$, a find the value of the common ratio, giving your answer to 4 significant figures b find the value of the fourth term. (3 marks) (2 marks)

          7.
In a convergent geometric series the common ratio is r and the first term is 2.
Given that $S_infty = 16 	imes S_3$,
a find the value of the common ratio, giving your answer to 4 significant figures
b find the value of the fourth term.
(3 marks)
(2 marks)

7.
In a convergent geometric series the common ratio is r and the first term is 2.
Given that Sinfty = 16 imes S3,
a find the value of the common ratio, giving your answer to 4 significant figures
b find the value of the fourth term.
(3 marks)
(2 marks)

Added by Vanesa M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zack A

06/02/2024

Step 1

We are dealing with a convergent geometric series, which means the absolute value of the common ratio, $r$, is less than 1. The first term of the series is given as 2, and the sum of the series, $S$, is equal to $16$ times the sum of the series, $S$. This Show more…

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