A geometric progression has first term a and common ratio r. The 1st, 2nd and 4th terms
Question:
A geometric progression has first term a and common ratio r. The 1st, 2nd and 4th terms of the geometric progression form the first three terms of an arithmetic progression.
a) Show that (r − 1)(r² + r − 1) = 0.
b) Given that the sum to infinity of the geometric progression is finite, find the exact value of r.
c) Find the sum to infinity of the geometric
progression in terms of a.
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ANSWER a Let the first term of the geometric progression be a and let its common ratio be r The 1st ...View the full answer
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Related Book For 
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
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