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 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?
The 6th term of the AP \( \sqrt{27}, \sqrt{75}, \sqrt{147}, \ldots \) is:
If 5th and 9th terms of an A.P. are 43 and 79 respectively, find the A.P.
The common difference of arithmetic progression 1, 5, 9, ... is
Which term of the A.P. 5, 8, 11, 14, ... is 38 ?
If P + 1, 2P + 1, 4P - 1 are in A.P. then the value of P is
Which of the following is in an A.P. ?
Which of the following is not in an A.P. ?
If 5th term of an A.P. is 11 and common difference is 2 then what is its first term ?
The sum of the first 20 terms of an AP is 820. If the first term is 5, find the 20th term and the common difference.
Given a series \( 5, 8, 11, 14, \dots \), if the \( n \)-th term of the given series is 320, then find \( n \) (where \( n \geq 1 \)):
In an A.P., the sixth term a6​=2. If the product a1​a4​a5 is the greatest, then the common difference of the A.P. is equal to:
A flower vase costs 36,000. With an annual depreciation of 2,000, its cost will be 6,000 in how many years?
If ln a, ln b, ln c are in AP and ln a – ln 2b, ln 2b – ln 3c, ln 3c – ln a are in AP then a : b : c is
\(3, 7, 1,......., 404\) and \(4, 7, 10,......, 403\). Find sum of common terms.
If the second, third, and fourth terms in the expansion of \( (x + y)^n \) are \( 135 \), \( 30 \), and \( \frac{10}{3} \), respectively, then \( 6\left(n^3 + x^2 + y\right) \) is equal to ______.
An arithmetic progression is written in the following way
arithmetic progression
The sum of all the terms of the 10th row is ______ .
A software company sets up m number of computer systems to finish an assignment in 17 days. If 4 computer systems crashed on the start of the second day, 4 more computer systems crashed on the start of the third day and so on, then it took 8 more days to finish the assignment. The value of m is equal to :
Let 3, 7, 11, 15, ...., 403 and 2, 5, 8, 11, . . ., 404 be two arithmetic progressions. Then the sum, of the common terms in them, is equal to _________.
If 2nd, 8th, 44th terms of A.P. are 1st, 2nd and 3rd terms respectively of G.P. and first term of A.P. is 1 then the sum of first 20 terms of A.P. is