List of top Mathematics Questions on Arithmetic Progression asked in WBJEE

If the sum of \( n \) terms of an A.P. is \( 3n^2 + 5n \) and its \( m^{th} \) term is \( 164 \), then the value of \( m \) is:
The sum of the first four terms of an arithmetic progression is 56. The sum of the last four terms is 112. If its first term is 11, then the number of terms is:
If the n terms a1,a2........an are in A.P. with increment r, then the difference between the mean of their squares and square of their mean is 
If 1,\(log_9\)(\(3^{1-x}+2\)).\(log_3\)(\(4.3^x-1\)) are in A.P. then \(x\) equals 
The sum $1\times 1! + 2 \times 2! + ... + 50 \times 50!$ equals