Question

Find the term $t_{11}$ of an A.P.
$4,9,14,....$

Answer 1

Given Series:

$4,9,14,...$

Difference between first and second term is $5$, and second and third terms is also $5$

Therefore, first term is $4$ and common difference is $5$.

Genral term, $t_n=4+(n-1)5=5n-1$

For $n=11,t_{11}=5\left(11\right)-1=54$

Hence, $t_{11}=54$