An infinite geometric progression has first term and common ratio
MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series
Problem
An infinite geometric progression has first term 6 and common ratio −31.
(a) Verify that the progression satisfies the condition for convergence.
(b) Calculate the sum to infinity of the progression.
(c) How many terms of this progression must be added so that the partial sum differs from the sum to infinity by less than 0.01? Show complete working.