Sequences And Series Mock Tests

The sum of the squares of the first n natural numbers is:

If 2, (k − 1), and (k + 1) are in AP, then the value of k is:

The sum of the infinite series 1 + 4/5 + 16/25 + 64/125 + ... is:

Two positive numbers have an arithmetic mean of 15 and a geometric mean of 9. The numbers are:

The sum to infinity of the geometric series 1 + 1/3 + 1/9 + 1/27 + ... is:

If the first term of a G.P. is 2 and the common ratio is 3, then the 5th term is:

The sum of the infinite geometric series 1 + 1/3 + 1/9 + 1/27 + … is:

In an A.P., if a = 2, d = 3, then the 10th term is: