Find the sum to n terms of the series whose nth term is given by n (n + 1) (n + 4).

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.

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

Find the 20th and nthterms of the G.P.

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.

Insert two numbers between 3 and 81 so that the resulting sequence is G.P.

Find the derivative of x² – 2 at x = 10.

Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?

Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.

Evaluate 

If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A×B).