Question

Find the first term and common difference of the $A.P.\frac{1}{2},\frac{5}{6},\frac{7}{6},\frac{3}{2},....,\frac{17}{6}$

Answer 1

Given series is $\frac{1}{2},\frac{5}{6},\frac{7}{6},\frac{3}{2},....,\frac{17}{6}$.
First term is $a=\frac{1}{2}$
Common difference, $d=\frac{5}{6}-\frac{1}{2}=\frac{5-3}{6}=\frac{2}{6}=\frac{1}{3}$

Thus, the first term and common difference is $\frac{1}{2}$ and $\frac{1}{3}$ respectively.