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

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?

The sum of the \(4^{th}\) and \(8^{th}\) terms of an AP is 24 and the sum of the \(6^{th}\) and \(10^{th}\)terms is 44. Find the first three terms of the AP.

Find the \(20^{th}\) term from the last term of the AP : 3, 8, 13, …..., 253

Determine the AP whose third term is \(16\) and the \(7^{th}\) term exceeds the \(5^{th} \) term by \(12\).

For what value of n, are the n^th terms of two APs: \(63, 65, 67, …..\)  and  \(3, 10, 17, …..\) equal?

How many multiples of 4 lie between 10 and 250?

How many three-digit numbers are divisible by 7?

Two APs have the same common difference. The difference between their 100^th terms is 100, what is the difference between their 1000^th terms?