Progressions Pa...

How many integers do the following finite arithmetic progressions have in common?

1, 8, 15, 22, …………….., 2003 and 2, 13, 24, 35, ……., 2004

If the sum of n terms of an AP is an(n - 1), then the sum of the squares of these terms is

Two APs have same common difference. The difference between their 100^th terms is 100. What is the difference between their 1^st terms?

Directions: Find the sum of the given series.

101 + 99 + 97 + ... + 47

What is the sum of all the 2-digit numbers that give a remainder of 3 when divided by 7?

Find the 8^th term of the given AP series.
117, 104, 91, 78 ,...

Find the fifth term of the given arithmetic progression.
10, 15, 20, ...

How many 3-digit numbers are divisible by 7?

If the sum of the first four terms of an AP is 16 and the sum of their squares is 84, then the terms are

If 16 and 22 are the third and the fourth terms of an AP, respectively, then the the first term is 

Find the sum of the first 15 multiples of 8. where all multiple belongs to the set of natural numbers.

What is the common difference of the given arithmetic progression?
10, 15, 20, 25,...... 50

Which term of the given AP will be 132 more than its 54^th term?

3, 15, 27, 39, …

If n^th term of an A.P. is given by 4n + 5, its common difference is _______.

If log₃ 2, log₃(2^x – 5), log₃(2^x – 7/2) are in arithmetic progression, find the value of x.

The angles of a quadrilateral are in AP with common difference as 10^o. The value of the largest angle is

In an AP, the 1^st and the 13^th terms are  and m, respectively. The common difference of the AP is 

For an AP, the 11^th term is 41 and the 1^st term is 11. The common difference of the AP is

Which of the following sequences is an arithmetic progression?

If - 7 is the first term of an AP and the common difference is 2, which of the following strings of numbers represents the next four terms of the AP?