Solubility of AgCl in water 0.01M $CaC{l}_2$, 0.01M NaCl and 0.05M $AgN{O}_3$ are $S_1,S_2,S_3$ and $S_4$ respectively then $(K_{sp}AgCl={10}^{-10}{M}^2)$

The sums of n terms of three A.P.'s whose first term is 1 and common differences are 1, 2, 3 are $s_1,s_2,s_3$ respectively. The true relation is

The sum of n terms of three A.P.'s whose first term is 1 and

common differences are 1, 2, 3 are $S_1$, $S_2$, $S_3$ respectively. The true

relation is

In a series if (i) T_n = 2n − 1 find S₅ (ii) T_n = (−1)ⁿ then find (a) S₁ (b) S₂ (c) S₃ (d) S₄

Hence prove that S₁ = S₃ and S₂ = S₄