List of top Mathematics Questions on Arithmetic Progression

Find the sum of the odd numbers between 0 and 50.

A sum of Rs. 700 is used to give 7 cash prizes to students for academic performance. If each prize is Rs. 20 less than its preceding prize, the value of the first (highest) prize is:

If a, b, c and d are consecutive terms of an A.P., then c – b is equal to :

The common difference of the AP : $\sqrt{2}, 2\sqrt{2}, 3\sqrt{2}, 4\sqrt{2}, \dots$ is :

In an A.P., the first term is 4 and the last term is 31. If sum of all the terms is 175, find the number of terms and the common difference.

The number of multiples of 6 lying between 25 and 363 is :

Solve any one of the following internal choices (a) or (b):
22(a) In an A.P., the first term is 32 and the last term is -10. If the common difference is -2, then find the number of terms and their sum.

The number of multiples of 4 lying between 12 and 250 is :

The value of x for which 2x, (x + 10) and (3x + 2) are the three consecutive terms of an A.P. is :

Which of the following sequence is not an A.P. ?

The first term of an AP is $p$ and the common difference is $q$, then its 10th term is :

The common difference of the AP : $\sqrt{2}, 2\sqrt{2}, 3\sqrt{2}, 4\sqrt{2}, \dots$ is :

The sum of first n terms of an A.P. is given by \(S_n = 4n^2 - n\). Find the 25th term of this A.P.

The nth term of an A.P. is \(3n + 2\). The common difference is :

If the arithmetic mean of the numbers \[ 2,4,6,\ldots,2n \] is \(\frac{7}{4}\), then \(n\) is equal to:

If \( x_1+x_2+x_3+\dots+x_n=pn(n-1) \forall n \in \mathbb{N} \) and \( x_{j+1}-x_j = \text{constant} \, (j=1,2,\dots,n-1) \), then \( (\frac{x_n}{n-1})^2 = \)

Which of the following forms an Arithmetic Progression?

Find the sum of first 20 terms of an A.P. whose n\(^{th}\) term is given by \(a_n = 5 + 2n\). Can 52 be a term of this A.P. ?

Find the A.P. whose third term is 16 and seventh term exceeds the fifth term by 12. Also, find the sum of first 29 terms of the A.P.

Which of the following is called 'Trapezium'?

Which term of the A.P. \( 3, 7, 11,........ ,147 \) is its middle term?

What is the sum of the first \(n\)-terms of the series, whose \(k\)-term is \(k!\times k\)?

Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the AP:

	a	d	n	\(a_n\)
(i)	7	3	8	….
(iI)	-18	…	10	0
(iii)	…	-3	18	-5
(iv)	-18.9	2.5	…	3.6
(v)	3.5	0	105	…