Arithmetic Progressions Maths - Arithmetic Progressions

If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be:

1. 0
2. p - q
3. p + q
4. -(p + q)

Write the sum of first n even natural numbers.

Find the second term and nth term of an A.P. whose 6th term is 12 and the 8th term is 22.

Find the sum of odd integers from 1 to 2001.

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

A farmer buys a used tractor for ₹ 12000. He pays ₹ 6000 cash and agrees to pay the balance in annual instalments of ₹ 500 plus 12% interest on the unpaid amount. How much the tractor cost him?

The income of a person is ₹ 300,000 in the first year and he receives an increase of ₹ 10000 to his income per year for the next 19 years. Find the total amount, he received in 20 years.

Shamshad Ali buys a scooter for ₹ 22000. He pays ₹ 4000 cash and agrees to pay the balance in annual instalments of ₹ 1000 plus 10% interest on the unpaid amount. How much the scooter will cost him.