Question

first term of an AP is -2 and 10th term is 28 ? find common difference .​

Answer 1

$\bold\red{\underline{\underline{Answer;}}}$

$\bold{Common \ difference(d) \ is \frac{10}{3}}$

$\bold\orange{Given:}$

$\bold{In \ an \ A.P.}$

$\bold{=>First \ term(a)=-2}$

$\bold{=>10th \ term=28}$

$\bold\pink{To \ find:}$

$\bold{Common \ difference}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{=>t1=a=-2}$

$\bold{=>t10=a+9d}$

$\bold{=>28=-2+9d}$

$\bold{9d=28+2}$

$\bold{9d=30}$

$\bold{=>d=\frac{30}{9}}$

$\bold{=>d=\frac{10}{3}}$

$\bold\purple{\tt{\therefore{Common \ difference(d) \ is \frac{10}{3}}}}$