If a times the a^th term of an A.P. is equal to b times the b^th term, find the (a + b)^th term.

A number 28 is divided into four parts that are in AP such that the product of the first and fourth is to the product of the second and third is 5 : 6. Find the smallest part.

Find the value of the expression: 1 – 3 + 5 – 7…. to 100 terms.

If a clock strikes once at 12 A.M., twice at 1 A.M., thrice at 2 A.M. and so on, how many times will the clock be struck in the course of 3 days? (Assume a 24 hour clock)

What will be the maximum sum of 54, 52, 50, … ?

Find the sum of the integers between 100 and 300 that are multiples of 7.

If x > 1, y > 1, z > 1 are in G.P., then 1/(1 + log x), 1/(1 + log y), 1/(1 + log z) are in

Find the sum of all odd numbers lying between 1000 and 2000.

Find the sum of all integers of 3 digits that are divisible by 11.

The first and the last terms of an A.P. are 113 and 253. If there are six terms in this sequence, find the sum of sequence.