Question

Find the eleventh term of the A.P.

$7,13,19,25,........$

Answer 1

We have $t_1=7,t_2=13,t_3=19$ and $t_4=25,.......$

$d=t_2-t_1=13-7=6$

The common difference $d=6$ and first term $a=7$
We know that, $t_n=a+(n-1)d$

$t_{11}=7+(11-1)\times 6$

$\therefore$ $t_{11}=7+10\times 6$

$\therefore$ $t_{11}=7+60$

$\therefore$ $t_{11}=67$

$\therefore$ The eleventh term of the A.P is $67$.