Question

Find the number of terms in an arithmetic progression with the first term $2$ and the last term being $62,$ given that common difference is $2$

• A. $31$
• B. $40$
• C. $22$
• D. $27$

Answer 1

The correct option is A $31$

We know that,

$a_n=a+(n-1)d$

here,

$a_n=62$

$a=2$

$d=2$

$62=2+(n-1)2$

$60=(n-1)2$

$30=(n-1)$

$n=31$

thus there are 31 terms