CHAPTER-5 ARITHMETIC PROGRESSIONS (SET-2)

Questions in this test

1. If the sum of n terms of an AP is $2n^2 +5n$, then its $n^{th}$ term is.
2. If the sum of three consecutive terms of an increasing AP is 51 and the product of the first and third of these terms is 273, then the third term is.
3. If four members in AP are such that their sum is 50 and the greatest no. is 4 times the least, then the numbers are
4. Let $S_n$ denote the sum of n terms of an AP, whose first term is 'a', if the common difference 'd' is given by $d=Sn-KS_{n-1},+S_{n-2},$ then K =
5. The first and last terms of AP are ‘a’ and ‘l’ respectively. If ‘S’ is the sum of all the terms of the AP and the common difference is given by $\frac{l^2-a^2}{k-\left(l+a\right)}$, then k =
6. If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k =
7. If the first, second and last term of an AP are a, b and 2a respectively, its sum is
8. If d, is the sum of an AP of ‘n’ odd number of terms and $S_2$ the sum of terms of the series in odd places then $\frac{S_1}{S_2}=$
9. If in an AP $Sn=n^2p$ and $Sm =m^2p$ , where Sr denotes the sum of r terms of the AP, then Sp is equal to.
10. If Sn denote the sum of first n terms of an AP if $Sn =3S_n,$ then $S3_n:S_n$ is equal.