MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series
Problem
Consider two geometric progressions, each with first term 1.
Progression A has common ratio 2.
Progression B has common ratio 21.
(i) For each progression, write down the first six partial sums S1,S2,…,S6.
(ii) Describe the behaviour of the sequence of partial sums in Progression A and compare it with that in Progression B.
(iii) Explain, without using limits beyond Class 11 syllabus, why one of the two progressions has a partial-sum sequence that approaches a fixed number while the other does not.