Answer the questions given below about arithmetic and geometric progressions.

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Answer the questions given below about arithmetic and geometric progressions. (i) Define an arithmetic progression (AP) and a geometric progression (GP). (ii) The nth term of a sequence is given by an=2n+3a_n = 2n + 3. Determine, with reason, whether this sequence is an AP, a GP, or neither. (iii) State the common difference or common ratio for the sequence, if it exists.

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