List of top Mathematics Questions on Sequence and Series asked in MAT

If \( a_1, a_2, \ldots, a_n \) are in AP, then evaluate the following expression: \[ \frac{1}{\sqrt{a_1} + \sqrt{a_2}} + \frac{1}{\sqrt{a_2} + \sqrt{a_3}} + \cdots + \frac{1}{\sqrt{a_n} + \sqrt{a_{n+1}}} \]

The population of a town increases geometrically. If the population is 10000 now and was 8000 two years ago, what will it be two years hence if it grows at the same rate?

What is the eighth term of the sequence 1, 4, 9, 16, 25, _________?

If p, q, r, s are in harmonic progression and \(p>s\), then

The sum of the 6^th and 15^th elements of an arithmetic progression is equal to the sum of 7^th, 10^th and 12^th elements of the same progression. Which element of the series should necessarily be equal to zero?

In a G.P., the first term is 5 and the common ratio is 2. The eighth term is

What is the next number in the series given below?
53, 48, 50, 50, 47

What is the next number in the series given below ?
2, 5, 9, 14, 20