List of top Mathematics Questions on Arithmetic Progression asked in KEAM

The sides of a right-angled triangle ae in an arithmetic progression. If the area of the triangle is 54, then the length of the longest side is

Let \(a_1,a_2,a_3,..\). be an increasing sequence of natural numbers, which are in an arithmetic progression with common difference d. Suppose \(a_1+a_2+a_3=27\) and \(a_1^2+a_2^2+a_3^2=275\). Then the value of \(a_1,d\) are 

Let S_n be the sum of the first n terms of the series a₁+a₂+...a_n+… If S_n=n²+4n, then the n^th term a_n is

In an A.P. there are 18 terms and the last three terms of the A.P. are 67, 72, 77. Then the first term of the A.P. is

The sum of the first 24 terms of the series 9+13+17+...... is equal to

If the 10^th and 12^th terms of an A.P. are respectively 15 and 21, then the common difference of the A.P. is

In an A.P. the difference between the last and the first terms is 632 and the common difference is 4. Then the number of terms in the A.P. is

Let t_n, n = 1,2,3,... be the n^th term of the A.P. 5, 8, 11,.... Then the value of n for which t_n = 305 is

If a₁, a₂, a₃,..., an are in A. P. with a₁ = 3, an, = 39 and a₁+a₂+...+an = 210, then the value of n is equal to

If \( -5, k, -1 \) are in A.P., then the value of \( k \) is equal to:

If the sum of first 75 terms of an A.P. is 2625, then the \( 38^{th} \) term of the A.P. is:

Let \( x_1, x_2, \dots, x_n \) be in an A.P. If \( x_1 + x_4 + x_9 + x_{11} + x_{20} + x_{22} + x_{27} + x_{30} = 272 \), then \( x_1 + x_2 + x_3 + \dots + x_{30} \) is equal to:

Let \( x_1, x_2, \dots, x_n \) be in an A.P. If \( x_1 + x_4 + x_9 + x_{11} + x_{20} + x_{22} + x_{27} + x_{30} = 272 \), then \( x_1 + x_2 + x_3 + \dots + x_{30} \) is equal to:

If the sum of first 75 terms of an A.P. is 2625, then the \( 38^{th} \) term of the A.P. is:

If \( -5, k, -1 \) are in A.P., then the value of \( k \) is equal to:

If the sum of first 75 terms of an A.P. is 2625, then the \( 38^{th} \) term of the A.P. is:

If \( -5, k, -1 \) are in A.P., then the value of \( k \) is equal to:

Let \( x_1, x_2, \dots, x_n \) be in an A.P. If \( x_1 + x_4 + x_9 + x_{11} + x_{20} + x_{22} + x_{27} + x_{30} = 272 \), then \( x_1 + x_2 + x_3 + \dots + x_{30} \) is equal to:

If $^n$C$_2$ + $^n$C$_3$ = $^6$C$_3$ and $^n$C$_x$ = $^n$C$_3$, x ? 3, then the value of x is equal to