Find the sum to n terms of the series 3 × 1² + 5 × 2² + 7 × 3² + …

Find the sum of integers from 1 to 100 that are divisible by 2 or 5.

If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

How many terms of G.P. 3, 3², 3³, … are needed to give the sum 120?

Find the sum of all numbers between 200 and 400 which are divisible by 7.

Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.

Find a G.P. for which sum of the first two terms is –4 and the fifth term is 4 times the third term.

For what values of x, the numbers are in G.P?

The sum of some terms of G.P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms.

If f is a function satisfying f(x +y) = f(x) f(y) for all x,y N  such that f(1) = 3

 and  , find the value of n.

Find four numbers forming a geometric progression in which third term is greater than the first term by 9, and the second term is greater than the 4th by 18.

The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the common ratio of G.P.

Given a G.P. with a = 729 and 7th term 64, determine S₇.

Find the sum of integers from 1 to 100 that are divisible by 2 or 5.

The sum of two numbers is 6 times their geometric mean, show that numbers are in the ratio 

Evaluate