Consider any geometric progression with positive first term
MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series
Problem
Consider any geometric progression with positive first term.
(i) Define the common ratio of such a progression.
(ii) Explain how the signs of the successive terms depend on whether the common ratio is positive or negative.
(iii) If the first term is 3 and the common ratio is −2, write the first four terms of the progression and state whether the sequence of terms is strictly increasing, strictly decreasing or neither.