**5. **ARITHMETIC PROGRESSIONS

**MAX MARKS: – 14**

**TIME- 45MIN. **

**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?**Find the 20**^{th}term from the last term of the A.P : 3, 8, 13, ….., 253.**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.**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?****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.**If the sum of the first n term of an A.P is 4n-n**^{2}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.**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.**