Question

Find the ${17}^{th}$ term of the arithmetic sequence $5,8,11,14,$ .......

• A. $50$
• B. $51$
• C. $52$
• D. $53$

Answer 1

Answer: (D)

$53$

${17}^{th}$ term of the A.P. is $a_{17}=a+(n-1)d$
Given series is $5,8,11,14,....$

Here $a=5,d=3,a_{17}=?$
Therefore, $a_{17}=5+(17-1)3$
$\Rightarrow a_{17}=5+16\times 3$
$\Rightarrow a_{17}=53$