Question

If the first term of an AP is 3 and the common difference is 5, then what is the $n^{th}$ term of the AP?

• A. $5n+2$
• B. $3n+4$
  
• C. $3n-4$
  
• D. $5n-2$

Answer 1

The correct option is D $5n-2$

The $n^{\text{th}}$ term of an AP with first term $a$ and common difference $d$ is given by
$a_n=a+(n-1)d.$

Given, $a=3$ and $d=5.$
$\therefore a_n=3+(n-1)5$
$⟹a_n=3+5n-5=5n-2$