Question

Find the tenth term of the AP: $2,7,12...$.

Answer 1

Evaluate the required term of the given arithmetic progression

Given, AP $=2,7,12...$

Here, first term $a=2$,

and, common difference $d=7-2=5$

We know that, ${\mathrm{n}}^{\mathrm{th}}$ term is defined as $a_n=a+(n-1)d$

So, we can calculate the required tenth term, i.e. $a_{10}$ using this formula

$$\begin{gathered} \Rightarrow a_{10}=2+(10-1)\times 5 \\ \Rightarrow a_{10}=2+45 \\ \Rightarrow a_{10}=47 \end{gathered}$$

Therefore, the tenth term of the given AP is $47$.