If `H_n=1+1/2+……+1/n`, then the value of
`S_n=1+3/2+5/2+….+99/50 is `

If H_n=1+12++1/ndot , then the value of S_n=1+3/2+5/3++(99)/(50) is H_(50)+50 b. 100-H_(50) c. 49+H_(50) d. H_(50)+100

Let S_n = cos ((n pi )/( 10)) , n = 1,2,3,…… then the value of ( s_1 s_2 ……s_(10))/( s_1 + s_2 +…….. +s_(10)) is equal to

If the second term of the expansion [a^(1/(13))+a/(sqrt(a^(-1)))]^n is 14 a^(5//2) , then the value of (^n C_3)/(^n C_2) is.

Let S_n=1+q+q^2 +?+q^n and T_n =1+((q+1)/2)+((q+1)/2)^2+?+((q+1)/2)^n If alpha T_100=^101C_1 +^101C_2 xS_1 +^101C_101 xS_100, then the value of alpha is equal to (A) 2^99 (B) 2^101 (C) 2^100 (D) -2^100

If |x^n x^(n+2)x^(2n)1x^a a x^(n+5)x^(a+6)x^(2n+5)|=0,AAx in R ,w h e r en in N , then value of a is n b. n-1 c. n+1 d. none of these

If "^(2n+1)P_(n-1):^(2n-1)P_n=3:5, then find the value of ndot

If .^(n+5) P_(n +1) = ((11(n-1))/2) .^(n +3) P_(n) then the value of n are

The value of i^(1+3+5++(2n+1)) is________.

If S_(1), S_(2), S_(3),...,S_(n) are the sums of infinite geometric series, whose first terms are 1, 2, 3,.., n and whose common rations are (1)/(2), (1)/(3), (1)/(4),..., (1)/(n+1) respectively, then find the values of S_(1)^(2) + S_(2)^(2) + S_(3)^(2) + ...+ S_(2n-1)^(2) .

If 1/2,1/3,n are the direction cosines of a line , then the value of n is