Question

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

Answer 1

${10}^{th}$ term of $AP2,7,12,....$

$a=$ first term $=2$

$d=$ common difference $=12-7=7-2=5$

$n^{th}$ term of $AP=a+(n-1)d$

$\Rightarrow {10}^{th}$ term of Given $AP=2+(10-1)5$

$=2+9\times 5$

$=47$

$\therefore 47$ is the ${10}^{th}$ term of $AP2,7,12,....$