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List of top Mathematics Questions on Arithmetic Progression

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:
What is the sum of the first 10 terms of the arithmetic progression with first term 3 and common difference 2?
The sum of the first 30 terms of an arithmetic progression is 930. If the first term is 2, what is the common difference of the progression?
The 5th term of an AP is 20 and the 12th term is 41. Find the first term.
If the sum of the first $ n $ terms of an arithmetic progression is given by $ S_n = 3n^2 + 5n $, find the first term $ a $ and common difference $ d $.
The sum of the first 20 terms of the arithmetic progression 7, 10, 13, ... is:
The sum of the first 10 terms of an arithmetic progression is 150. If the first term is 10, what is the common difference?