Question

Converse of the statement " If $n^{th}$ term of a sequence is linear then sequence is in A.P."is

• A. If a sequence is not in A.P. then its $n^{th}$ term is linear
• B. If a sequence is in A.P. then its $n^{th}$ term is not linear
• C. If a sequence is in A.P. then its $n^{th}$ term is linear
• D. If a sequence is not in A.P. then its $n^{th}$ term is not linear.

Answer 1

The correct option is C If a sequence is in A.P. then its $n^{th}$ term is linear

The converse of a statement "If $p$ then $q$" is "If $q$ then $p$".
So, converse of given statement is "If a sequence is in A.P. then its $n^{th}$ term is linear. "