Answer the following for two infinite geometric progressions having the same first term :
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
Answer the following for two infinite geometric progressions having the same first term 10:
(i) For the progression with common ratio 52, calculate the sum to infinity.
(ii) For the progression with common ratio 35, state whether a finite sum to infinity exists and support your answer with appropriate reasoning.