An arithmetic progression (AP) with first term and common difference and a geometric…
MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series
Problem
An arithmetic progression (AP) with first term a and common difference d and a geometric progression (GP) with the same first term a and common ratio r are both non-constant. If their 3rd terms are equal and their 5th terms are also equal, which of the following statements is correct?
(a) They exist only when r=−1.
(b) They exist whenever r2=2.
(c) No such pair of non-constant sequences exists.
(d) They exist only when d=0.