## Important questions for class 10 maths Arithmetic Progression consist of all type of questions starting from one mark to 5 marks.

### All Important questions for class 10 maths Arithmetic Progressions are with fully solved solutions explaining each and every step which is required , try to solve all Important questions for class 10 maths Arithmetic Progressions by yourself and if required take he from the solution of Important questions for class 10 maths Arithmetic Progressions.

#### Student’s of Class 10 who are preparing for the exams, should practice questions a lot so that they can clear their doubts instantly. These important questions given here will help you to prepare well and score good numbers in Maths exam.

1.Find the middle term of the A.P. 6,13,20,.....216.

2.The sum of 5th and 9th terms of an A.P. is 72 and the sum of 7th and 12th terms is 97. Find the A.P.

3.For what value of n, the nth term of the arithmetic progressions 63, 65, 67, ... and 3, 10, 17, ... are equal?

4.The 17th term of an A.P.is 5 more than twice its 8th term. If the 11th term of the A.P.is 43,
find the nth term.

5.The sum of three numbers in A.P. is 12 and the sum of their cubes is 288. Find the numbers.

6.The ratio of the sums of mand n terms of an A.P. is $m^{2}/n^{2}$. Show that the ratio of the mth and nth terms is (2m - 1): (2n-1).

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

8.In an A.P., the sum of first ten terms is -150 and the sum of its next ten terms is -550 .Find the A.P.

9.The sum of first terms of an A.P. is $63q-3q^{2}$. If its pth term is - 60, find the value of p. Also, find the 11th term of this A.P.