List of top Quantitative Aptitude Questions on Arithmetic Progression

The terms \(x_5 = -4\), \(x_1, x_2, \dots, x_{100}\) are in an arithmetic progression (AP). It is also given that \(2x_6 + 2x_9 = x_{11} + x_{13}\). Find \(x_{100}\).

Suppose $x_1, x_2, x_3, \dots, x_{100}$ are in arithmetic progression such that $x_5 = -4$ and $2x_6 + 2x_9 = x_{11} + x_{13}$. Then, $x_{100}$ equals ?

Let both the series \(a_1,a_2,a_3,....\) and \(b_1,b_2,b_3,....\) be in arithmetic progression such that the common differences of both the series are prime numbers. If \(a_5=b_9,a_{19}=b_{19}\) and \(b_2=0\) , then \(a_{11}\) equals

For some positive and distinct real numbers \(x ,y\), and \(z\) , if \(\frac{1}{\sqrt{ y}+ \sqrt{z}}\) is the arithmetic mean of \(\frac{1}{\sqrt{x}+ \sqrt{z}}\) and \(\frac{1}{\sqrt{x} +\sqrt{y}}\) , then the relationship which will always hold true, is

Let \( a_1, a_2, a_3, \dots \) be terms on A.P. If \[ a_1 + a_2 + \dots + a_p = p^2, \, p \neq q, \, \text{then} \, a_q = \frac{p^2}{q^2} \] Then \( a_q \) equals:

The second term of an P is 15 and the fifth term is double the first term. Find the sum of the first 20 terms of the series.

Consider the set S = 1, 2, 3, …, 10001. How many arithmetic progressions with at least 3 elements can be formed from the elements of S that start with 1 and end with 1000?

There are 8 kids – A, B, C, D, E, F, G and H. Two hundred one rupee coins are to be distributed among them in such a way that the distribution forms an arithmetic progression. Find the total number of coins received by C and F ?

If 9, 6, p are in arithmetic progression, 9, 6, q are in geometric progression and 9, 6, are in harmonic progression, then what is the value of (4p – 6q + r)?