NCERT Solutions for Chapter: Sequences and Series, Exercise 1: EXERCISE

A man saved Rs $66000$ in $20$ years. In each succeeding year after the first year he saved Rs $200$ more than what he saved in the previous year. How much did he save in the first year?

A man accepts a position with an initial salary of Rs $5200$ per month. It is understood that he will receive an automatic increase of Rs $320$ in the very next month and each month thereafter. Find his salary for the tenth month.

A man accepts a position with an initial salary of Rs $5200$ per month. It is understood that he will receive an automatic increase of Rs $320$ in the very next month and each month thereafter. What is his total earnings during the first year?

We know the sum of the interior angles of a triangle is ${180}^0$. Show that the sums of the interior angles of polygons with $3, 4, 5, 6, ...$sides form an arithmetic progression. Find the sum of the interior angles for a $21$ sided polygon.

A side of an equilateral triangle is $20 \mathrm{cm}$ long. A second equilateral triangle is inscribed in it by joining the midpoints of the sides of the first triangle. The process is continued as shown in the accompanying diagram. Find the perimeter of the sixth inscribed equilateral triangle.

In a potato race $20$ potatoes are placed in a line at intervals of $4$ meters with the first potato $24$ meters from the starting point. A contestant is required to bring the potatoes back to the starting place one at a time. How far would he run in bringing back all the potatoes?

In a cricket tournament $16$ school teams participated. A sum of Rs $8000$ is to be awarded among themselves as prize money. If the last placed team is awarded Rs $275$ in prize money and the award increases by the same amount for successive finishing places, how much amount will the first place team receive?

If the $r^{\text{th }}$term of an A.P whose sum of first $n$ terms: $2n+3n^2$ is $kr-1$, then find the value of $k$.