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Series: Geometric Progressions
The sum of the infinite geometric series starting at 8
and with common ratio
3
---
4
 is to 3 dps

tickcross


Worked Solution

The sum of an infinite geometric series starting at a and with common ratio r is
a
---
1 – r

In this question a = 8 and r =
3
---
4
so the sum is
8
---
1 –3/4
 =
8×4
---
4–3
 = 32

© MEI Produced by Dr Ron Knott, 20 July 2004
tom . button [AT] mei . org . uk 		Test reference: SeriesGPsum.html?ref=31100