Question

In an AP, if $a=3.5$, $d=0$, $n=101$, then $a_n$ will be

• A. $0$
• B. $3.5$
• C. $103.5$
• D. $104.5$

Answer 1

The correct option is B

$3.5$

Find the required term of given AP

Given: In an AP $a=3.5$, $d=0$, $n=101$

We know that the $n^{th}$ term of an AP is calculated by using the formula, $a_n=a+\left(n-1\right)d$. where is first term,$a_n$ is $n^{th}$ term, $d$ is the common difference.

On substituting the given values in the above formula. we get,

$$\begin{gathered} \Rightarrow a_{101}=3.5+(101-1)\times 0 \\ \Rightarrow a_{101}=3.5 \end{gathered}$$

Hence, $a_n$ will be $3.5$, so, the correct answer is option (B).