Question

A man saved $Rs.32$ during first year $Rs.36$ in second year and in this way he increases his saving by $Rs.4$ every year find in what time his saving will be $Rs.200$.

Answer 1

according to given data,

series formed will be AP:

32,36,.....

Here a=32

d=4

$\begin{array}{c}{a}_n=200\\ a_n=a+\left(n-1\right)d\\ 200=32+\left(n-1\right)4\\ 168=\left(n-1\right)4\\ n-1=42\\ n=43\end{array}$

Thus in 43 years saving will be Rs200