List of top Mathematics Questions on nth Term of an AP asked in CBSE Class X

If $a_n$ represents $n^{\text{th}}$ term of the A.P. $-\frac{15}{4}, -\frac{10}{4}, -\frac{5}{4}, \dots$ then value of $a_{16} - a_{12}$ is

In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is

If $a_n$ represents $n^{\text{th}}$ term of the A.P. $-\frac{15}{4}, -\frac{10}{4}, -\frac{5}{4}, \dots$ then value of $a_{16} - a_{12}$ is

The \(n^{\text{th}}\) term of an A.P. is \(\sqrt{2}n + 1\). Its common difference is

The 31st term of the A.P. : \(-\frac{5}{6}, -\frac{3}{4}, -\frac{2}{3}, -\frac{7}{12}, \dots\) is

The n\(^{th}\) term of the A.P. \(-\frac{1}{3}\), \(\frac{2}{3}\), \(\frac{5}{3}\), \(\frac{8}{3}\), ... is :

The $n^{\text{th}}$ term of the A.P. $\frac{-1}{3}, \frac{2}{3}, \frac{5}{3}, \frac{8}{3}, \dots$ is :

If 14th term of an A.P. is 4 and its 15th term is zero, then its first term is

If \(\frac{-20}{9}, \frac{-2}{9}, \frac{16}{9}, \ldots\) are in A.P., then next term of the sequence is

If \(-26\), x, 2 are in A.P., then the value of x is

\(n^{\text{th}}\) term of the A.P. : \(-\frac{1}{3}, \frac{4}{3}, 3, \ldots\) is

Which term of the AP: 121, 117, 113, ..... is its first negative term?

Which term of the AP : 3, 15, 27, 39, ……… will be 132 more than its 54^th term?

The 17^th term of an AP exceeds its 10^th term by 7. Find the common difference.

If the 3^rd and the 9^th terms of an AP are 4 and –8 respectively, which term of this AP is zero?

An AP consists of 50 terms of which 3^rd term is 12 and the last term is 106. Find the 29^th term.

Find the \(31^{st}\) term of an AP whose \(11^{th}\) term is 38 and the \(16^{th}\) term is 73.

Check whether –150 is a term of the AP : 11, 8, 5, 2 .......

Find the number of terms in each of the following A.P.

1. \(7, 13, 19, ……, 205\)
2. \(18,15 \frac 12 ,13,……,−47\)

Which term of the AP : 3, 8, 13, 18, ........ is 78?

In the following APs, find the missing terms in the boxes :

Choose the correct choice in the following and justify : \(11^{th}\) term of the AP: \(– 3, -\frac 12, 2,.....\) is

Choose the correct choice in the following and justify: \(30^{th}\) term of the AP: \(10, 7, 4,.....\) is

Ramkali saved Rs. 5 in the first week of a year and then increased her weekly savings by Rs 1.75. If in the \(n^{th}\) week, her weekly savings become Rs 20.75, find n.

Subba Rao started work in 1995 at an annual salary of Rs. 5000 and received an increment of Rs. 200 each year. In which year did his income reach Rs. 7000?