Reference no: EM13954551

ARITHMETIC PROGRESSION (A.P.) QUESTIONS

1. The first and last term of an A.P. are 8 and 350 respectively. If its common difference is 9, how many terms are there and what is their sum?

2. How many multiples of 4 lie between 10 and 250? Also find their sum.

3. The sum of first 15 terms of an A.P. is 105 and the sum of the next 15 terms is780. Find the first 3 terms of the A.P.

4. If the sum of first n terms of an A.P. is given by S_n= 4n² - 3n , find the n^th term of the A.P.

5. If 8^th and 13^th terms of an A.P. are 22 and 42 respectively, find the sum of first 20 terms of the A.P.

6. Which term of the A.P. 4,9,14 ........................ is 89? Also find the sum.

7. Find the sum of all two digits positive numbers divisible by 3.

8. The sum of first n terms of an A.P. is 3n² +5n. Find the 16^th term of the A.P.

9. The ratio of the sum of n and m terms of an A.P. is m² : n² . Show that the ratio of the m^th term and n^th term is (2m-1) : (2n-1).

10. Find the sum of first 25 terms of an A.P. whose nth term is given by T_n = 2 - 3n