Chapter 5 – Arithmetic Progressions

The number of terms common to the two A.P. s 2 + 5 + 8 + 11 + ….+ 98 and 3 + 8 + 13 + 18 +….+198

How many terms of AP 54, 51, 48… are required to give a sum of 513?​

Find the next two terms of the A.P.:- -10, -6,-2…

How many terms are there in 20, 25, 30………, 140

The fourth term of an A.P. is 4. Then the sum of the first 7 terms is :

The sum of all two digit odd numbers is

An athlete wants to improve his stamina, so he decides to increase the distance he runs by half a kilometer every day. If he starts with 5 km on first day, find how much he runs on the 10 th day

If p, q, r are in AP, then p3 + r3 – 8q3 is equal to

The number of multiples lie between n and x2 which are divisible by n is

The weights of 11 students selected for a team are noted in ascending order and are in A. P. The lowest value is 45 Kg, and the middle value is 55 Kg. What is the difference between the two values placed consecutively ?

What is the sum of the first 50 multiples of 3?​

The (n – 1)th term of an A.P. is given by 7,12,17, 22,… is

If p, q, r and s are in A.P. then r – q is

If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is

The common difference of the A.P for which 20th term is 10 more than the 18th term is :

For an A.P the sum of first 30 terms is -1155,the common difference is -3and the thirtieth term is -82. What is the first term?

The nth term of an A.P. 5, 2, -1, -4, -7 … is

If p, q, r, s, t are the terms of an A.P. with common difference -1 the relation between p and t is:​

If the sum of n terms of an AP is 3n2+5n then which of its terms is 164?​

nth term of the sequence a, a + d, a + 2d,… is

If 2x, x + 10, 3x + 2 are in A.P., then x is equal to

Find the sum of 12 terms of an A.P. whose nth term is given by an = 3n + 4

If 7th and 13th terms of an A.P. be 34 and 64, respectively, then it’s 18th term is :

The number of two digit numbers divisible by 5 is

25. The nth term of an A.P. is given by an = 3 + 4n. The common difference is

26. If p, q, r and s are in A.P. then r – q is

27. If the sum of three numbers in an A.P. is 9 and their product is 24, then numbers are

28. The (n – 1)th term of an A.P. is given by 7,12,17, 22,… is

29. The nth term of an A.P. 5, 2, -1, -4, -7 … is

30. The 10th term from the end of the A.P. -5, -10, -15,…, -1000 is