If S<sub>n</sub> denotes the sum of the first r terms of an A.P. Then, S<sub>3n</sub> : (S<su…

The first term of an Arithmetic Progression is 22 and the last term is -11. If the sum is 66, the number of terms in the…

The sum of first 20 odd natural numbers is

Given A = 2<sup>65</sup> and B = (2<sup>64</sup> + 2<sup>63</sup> + 2<sup>62&l…

The common difference of the A.P. is $$\frac{1}{{2q}},$$ $$\frac{{1 - 2q}}{{2q}},$$  $$\frac{{1 - 4q}}{{2q}},$$…

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 d = S<sub&g…

If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of (p + q) terms will be

The sum of n terms of two A.P.’s are in the ratio 5n + 4 : 9n + 6. Then, the ratio of their 18<sup>th</su…