Question

$n^{th}$ term of an AP is five times its first term.
Represent this situation in the form of an equation, where $a$ = first term, $a_n$ = $n^{th}$ term and $d$ is the common difference.

• A. $a_n=5+a$
• B. $a_n=5-a$
• C. $a_n=5a$
• D. $5a_n=a$

Answer 1

The correct option is C

$a_n=5a$

Let $a$ = first term, $a_n$ = $n^{th}$ term and $d$ is the common difference.

Given that the $n^{th}$ term is 5 times the first term.

$\therefore$ $a_n=5\times a$ = 5a