List of top Mathematics Questions on nth Term of an AP asked in KEAM

A man repays a loan of Rs. 3250 by paying Rs. 20 in the first month and then increases the payment by Rs. 15 every month. The number of months it takes to clear the loan is

A sum of Rs. 280 is to be used to award four prizes. If each prize after the first prize is Rs. 20 less than its preceding prize, then the value of the fourth prize is

Three numbers are in arithmetic progression (A.P.). Their sum is 21 and the product of the first number and the third number is 45. Then the product of these three numbers is:

If \( a+1, 2a+1, 4a-1 \) are in arithmetic progression, then the value of \( a \) is:

Three numbers \( x, y, \) and \( z \) are in arithmetic progression (A.P.). If \( x+y+z = -3 \) and \( xyz = 8 \), then \( x^2+y^2+z^2 \) is equal to:

The \( 30^{th} \) term of the arithmetic progression \( 10, 7, 4, \dots \) is:

In an A.P., the $6^{\text{th}}$ term is $52$ and the $11^{\text{th}}$ term is $112$. Then the common difference is equal to: