Arithmetic Progression - CBSE Class 10

What is the common difference of an A.P. in which  $a_{21}-a_7=84$  ? (2017OD )

Find the 9th term from the end (towards the first term) of the A.P. 5,9,13, …, 185. (2016D)

The angles of a triangle are in A.P., the least being half the greatest. Find the angles. (2011D)

The 7th term of an A.P. is 20 and its 13th term is 32. Find the A.P. (2012OD)

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How many natural numbers are there between 200 and 500, which are divisible by 7? (2011OD)

Find the middle term of the A.P. 6, 13, 20, …, 216. (2015D)

How many terms of the A.P. 65, 60, 55, … be taken so that their sum is zero? (2016D)

The 14th term of an AP is twice its 8th term. If its 6th term is -8, then find the sum of its first 20 terms. (2015OD)

The nth term of an A.P. is given by (-4n + 15). Find the sum of first 20 terms of this A.P. (2013D)

The sum of the first seven terms of an AP is 182. If its 4th and the 17th terms are in the ratio 1 : 5, find the AP. (2014OD)

[ENTER FIRST 4 TERMS COMMA SEPERATED]

The digits of a positive number of three digits are in A.P. and their sum is 15. The number obtained by reversing the digits is 594 less than the original number. Find the number. (2016OD)

A sum of ₹ 1,600 is to be used to give ten cash prizes to students of a school for their overall academic performance. If each prize is ₹ 20 less than its preceding prize, find the value of the first 4 prizes. (2012OD)

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Find the number of terms of the A.P. -12, -9, – 6, …, 21. If 1 is added to each term of this A.P., then find the sum of all terms of the A.P. thus obtained. (2013D)