## If S1 is the sum of an arithmetic progression of ‘n’..

If S1 is the sum of an arithmetic progression of ‘n’ odd number of terms and S2 is the sum of the terms of the series in odd places, then…

## If four numbers in A.P. are such that their sum is 50..

If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are A. 5, 10, 15, 20…

## If the sum of n terms of an A.P. be..

If the sum of n terms of an A.P. be 3$\mathbf{n}^{2}$ + n and its common difference is 6, then its first term is. A. 2 B. 3 C. 1…

## The common difference of the A.P…

The common difference of the A.P. $\frac{1}{2 b}, \frac{1-6 b}{2 b}, \frac{1-12 b}{2 b}$,...... is A. 2b B. -2b C. 3 D. -3 Answer: Option D Show Answer Solution(By Apex…

## If the nth term of an A.P. is..

If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is A. n(n - 2) B. n(n + 2)…

## Two A.P.’s have the same common difference.

Two A.P.’s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th terms is…

## The common difference of an A.P., the sum of

The common difference of an A.P., the sum of whose n terms is $\mathbf{s}_{\mathbf{n}}$, is A. $\mathrm{S}_{\mathrm{n}}-2 \mathrm{~S}_{\mathrm{n}-1}+\mathrm{S}_{\mathrm{n}-2}$ B. $S_{n}-2 S_{n-1}-S_{n-2}$ C. $\mathrm{S}_{\mathrm{n}}-\mathrm{S}_{\mathrm{n}-2}$ D. $\mathrm{S}_{\mathrm{n}}-\mathrm{S}_{\mathrm{n}-1}$ Answer: Option A Show Answer…

## The number of terms of the A.P. 3, 7, 11…

The number of terms of the A.P. 3, 7, 11, 15, ....... to be taken so that the sum is 406 is A. 5 B. 10 C. 12 D. 14…

## If in an A.P., Sn = n2p and Sm = m2p..

If in an A.P., $\mathbf{S}_{\mathbf{n}}=\mathbf{n}^{2} \mathbf{p}$ and $\mathbf{S}_{\mathbf{m}}=\mathbf{m}^{\mathbf{2}} \mathbf{p}$, where S denotes the sum of r terms of the A.P., then $\mathbf{S}_{\mathbf{p}}$ is equal to A. $\frac{1}{2} p^{3}$ B. mnp…

## Let S denotes the sum of n terms of…

Let S denotes the sum of n terms of an A.P. whose first term is a. If the common difference d is given by $\mathbf{d}=\mathbf{S}_{\mathbf{n}}-\mathbf{k} \mathbf{S}_{\mathbf{n}-\mathbf{1}}+\mathbf{S}_{\mathbf{n}-2}$ then k? A. 1…