`underset(s→∞)lims {(s(s-2))/((s+1)(s+3)s)}` =

If s_(1),s_(2),s_(3) denote the sum of n terms of 3 arithmetic series whose first terms are unity and their common difference are in H.P.,Prove that n=(2s_(3)s_(1)-s_(1)s_(2)-s_(2)s_(3))/(s_(1)-2s_(2)+s_(3))

If S_(1), S_(2), S_(3),….., S_(n) are the sum of infinite geometric series whose first terms are 1,3,5…., (2n-1) and whose common rations are 2/3, 2/5,…., (2)/(2n +1) respectively, then {(1)/(S_(1) S_(2)S_(3))+ (1)/(S_(2) S_(3) S_(4))+ (1)/(S_(3) S_(4)S_(5))+ ........."upon infinite terms"}=

If 2s=a+b+c, prove that (s-a)^(3)+(s-b)^(3)+(s-c)^(3)-3(s-a)(s-b)(s-c)=(1)/(2)(a^(3)+b^(3)+c^(3)-3abc)

If S_(1), S_(2),cdots S_(n) , ., are the sums of infinite geometric series whose first terms are 1, 2, 3,…… ,n and common ratios are (1)/(2) ,(1)/(3),(1)/(4),cdots,(1)/(n+1) then S_(1)+S_(2)+S_(3)+cdots+S_(n) =

Asseration: Number of S-S bonds in H_(2)S_(n)O_(6) is (n-1). Reason: H_(2)S_(n)O_(6) shows HO_(3)S-underset((n-2))(S)-SO_(3)H

The negation of sim s vv(sim r^^s) is equivalent to : (1) s^^sim r(2)s^^(r^^sim s)(3)s vv(r vv sim s)(4)s^^r

Elements with their electronic configurations are given below: Answer the following questions: (I) 1s^(2) 2s^2 (II) 1s^(2) 2s^(2) 2p^(6) (III) 1s^(2) 2s^(2) 2p^(6) 3s^(2) (IV) 1s^(2) 2s^(2) 2p^(3) (V) 1s^(2) 2s^(2) 2p^(5) The element with lowest value of electron affinity is: