## Chapter 19 – Arithmetic Progressions Exercise Ex. 19.1

Find the first four terns of the sequence defined by a_{1}

= 3 and, a_{n} = 3a_{n}_{– 1} + 2, for all n > 1

## Chapter 19 – Arithmetic Progressions Exercise Ex. 19.2

## Chapter 19 – Arithmetic Progressions Exercise Ex. 19.3

## Chapter 19 – Arithmetic Progressions Exercise Ex. 19.4

Find the rth term of an A.P., the sum of whose first n

terms is 3n^{2} + 2n.

## Chapter 19 – Arithmetic Progressions Exercise Ex. 19.5

Show that x^{2} + xy + y^{2}, z^{2}

+ zx + x^{2} and y^{2} + yz + z^{2} are consecutive

terms of an A.P., if x, y and z are in A.P.

## Chapter 19 – Arithmetic Progressions Exercise Ex. 19.6

Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

## Chapter 19 – Arithmetic Progressions Exercise Ex. 19.7

A carpenter was hired to build 192 window frames. The

first day he made five frames and each day thereafter he made two more frames

than he made the day before. How many days did it take him to finish the job?

We know that the sum of the interior angles of a

triangle is 180^{o}. 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.

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?

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.

i. 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?

A man saved Rs. 66000 in 20

years. In each succeeding year after the first year he saved Rs. 200 more then

what he saved in the previous year. How much did he save in the first year?

In a cricket team tournament 16 teams participated. A

sum of Rs. 8000 is to be awarded among themselves as prize money.

If the last place 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?