Question

Find the ${10}^{th}$ term of the AP $2,7,12$,______.

Answer 1

formula for $an\to n^{th}$ term is

$a_n=a+(n-1)d.$

where d = difference between two number

n = no. of term

a = first number

Here a = 2

d = 5

n = 10

then $a_n=2+(10-1)5$

$=2+a\times 5$

$a_{10}=2+45=47$

So ${10}^{th}$ term is 47.