A sequence is defined by a_n = cases 2n + 1, & n even 3^ ,n , & n odd cases Which one…

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

A sequence is defined by an={2n+1,n even3 n,n odda_n = \begin{cases} 2n + 1, & n \text{ even} \\ 3^{\,n}, & n \text{ odd} \end{cases} Which one of the following correctly describes this sequence? (a) Geometric progression only (b) Neither arithmetic nor geometric progression (c) Arithmetic progression only (d) Both arithmetic and geometric progressions

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