tmua.me papers

tmua.me Medium Set D Paper 2 · Q2

Paper 2Logic & proofSequences & series

A sequence has at least three terms, all of which are positive real numbers. Consider the statement:

If the sequence is both an arithmetic progression and a geometric progression, then all its terms are equal.

Which of the following is the converse of this statement?

AIf the terms are not all equal, then the sequence is neither an arithmetic progression nor a geometric progression.
BIf the sequence is both an arithmetic progression and a geometric progression, then its terms are not all equal.
CIf the sequence is not both an arithmetic progression and a geometric progression, then its terms are not all equal.
DIf the terms are not all equal, then the sequence is not both an arithmetic progression and a geometric progression.
EIf all the terms are equal, then the sequence is both an arithmetic progression and a geometric progression.

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.