Rameshwar

Answer to: Find the A.P. whose third term is 16 and seventh term exceeds the fifth term by 12. Also, find the sum of first 29 terms of the A.P.

Given that the third term of an arithmetic progression (A.P.) is 16:
$ a_3 = a + 2d = 16 \qua...

Answer to: Prove that $ \displaystyle \frac{tan \theta}{1 - cot \theta} + \frac{cot \theta}{1 - tan \theta} = sec \theta cosec \theta + 1$

To prove:
$ \displaystyle \frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 -...

Answer to: 22nd term of the A.P.: $\frac{3}{2}, \frac{1}{2}, \frac{-1}{2}, \frac{-3}{2}, ........ $ is

Given A.P.: $ \displaystyle \frac{3}{2}, \frac{1}{2}, \frac{-1}{2}, \frac{-3}{2}, \dots $
<...

Answer to: The line $2x - 3y = 6$ intersects $x - axis$ at

To find the x-intercept of the line $ \displaystyle 2x - 3y = 6 $, we set $ \displaystyle y = 0 $ an...

Answer to: If the sum of first n terms of an A.P. is given by $S_n = \frac{n}{2} (3n + 1)$, then the first term of the A.P. is

Given the sum of the first $ \displaystyle n $ terms of an A.P.:

$ \displaystyle S_n =...