5. ARITHMETIC PROGRESSIONS

MAX MARKS: – 14

TIME- 45MIN.        

1. Two A.P  have the same common difference , the difference btw their 100^th term is 100, what is the difference btw their 1000^th term?
2. Find the 20^th term from the last term of the A.P : 3, 8, 13, ….., 253.
3. The sum of the 4^th and the 8^th term of an A.P is 24 and the sum of the 6^th and 10 terms is 44 , find the first three terms of the a.p.
4. The first and the last term of an A.P are 17 and 350 respectively, if the common difference is 9 how many terms are there and what is their sum?
5. If the sum of first 7 terms of an A.P is 49 and that of 17 terms is 289 , find the sum of the first n^th term.
6. If the sum of the first n term of an A.P is 4n-n² what is the first term ? what is the sum of first two terms ? what is the second term? Similarly find the 3^rd , the 10^th and the nth terms.
7. A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of each of the prizes.