Class 10 th maths A P

 Que 1 How many two digits numbers are divisible by 3? 

 Que 2 For what value of k will k + 9, 2k – 1 and 2k + 7 are the consecutive terms of an A.P. ?

 Que 3 Find the 9th term from the end (towards the first term) of the A. P. 5, 9, 13, …………., 185.

 Que 4 In an A.P., if the common difference (d) = – 4 and the seventh term (a7) is 4, then find the first term.

 Que 5 Find how many integers between 200 and 500 are divisible by 8. 

 Que 6 Find the sum given below:
         7 + 10 + 13 + …….. + 46

 Que 7 If the 9th term of an A.P. is zero, then show that its 29th term is doable of its 19th term.

 Que 8 How many terms of the A.P. 18, 16, 14, ………… be taken so that their sum is zero?

 Que 9 Find the sum of first 8 multiples of 3.

 Que 10 Which term of the sequence 114, 109, 104, ……, is first negative term?

 Que 11 Find the sum of n terms of the series
         (4−1n)+(4−2n)+(4−3n ) + ……….

 Que 12 If mth term of an A.P. is 1n and nth term is 1m, then find the sum of its first mn terms

 Que 13 If the sum of first m terms of an A.P. is the same as the sum of its n terms, show that the sum of its first (m + n) terms is zero.

 Que 14 If the sum of first 7 terms of an A.P. is 49 and that of its first 17 terms is 289, find the sum of first n terms of the A.P.

 Que 15 The sum of first 16 terms of an AP is 112 and sum of its next fourteen terms is 518.                  Find   theAP.

 Que 16 The first term of an A.P. is 3, the last term is 83 and the sum of all its terms is 903. Find            the number of terms and the common difference of the A.P. 

 Que 17 If the sum of first m terms of an A.P. is the same as the sum of its n terms, show that               the  sum of its first (m + n) terms is zero.