For the series `S=1+(1)/((1+3))(1+2)^(2)+(1)/((1+3+5))(1+2+3)^(2)+(1)/((1+3+5+7))(1+2_3+4)^(2)+……………..,` if the `7^("th")` term is K, then `(K)/(4)` is equal to

For the series S=1+(1)/((1+3))(1+2)^(2)+(1)/((1+3+5))(1+2+3)^(2)+(1)/((1+3+5+7))(1+2+3+4)^(2)+……….., if the sum of the first 10 terms is K, then (4K)/(101) is equal to

For the series, S=1 +(1)/(1+3)(1+2)^2+(1)/((1+3+7))(1+2+3)^2+(1)/((1+3+5+7))(1+2+3+4)^2+...

For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7))(1+2+3+4)^2 +... 7th term is 16 7th term is 18 Sum of first 10 terms is (505)/4 Sum of first 10 terms is (45)/4

For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7))(1+2+3+4)^2 +... 7th term is 16 7th term is 18 Sum of first 10 terms is (505)/4 Sum of first 10 terms is (45)/4

For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7))(1+2+3+4)^2 +... (a) 7th term is 16 (b) 7th term is 18 (c) Sum of first 10 terms is (505)/4 (d) Sum of first 10 terms is (45)/4

For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7))(1+2+3+4)^2 +... a.7th term is 16 b.7th term is 18 c. Sum of first 10 terms is (505)/4 d. Sum of first 10 terms is (45)/4

4(1)/(3) - 3 (2)/3 -:1(1)/(3) + ? -: 3 (1)/(2) -: 1(1)/(5) =7

The sum of the series 1+ 2/3+ (1)/(3 ^(2)) + (2 )/(3 ^(3)) + (1)/(3 ^(4)) + (2)/(3 ^(5)) + (1)/(3 ^(6))+ (2)/(3 ^(7))+ …… upto infinite terms is equal to :

The sum of the series 1+ 2/3+ (1)/(3 ^(2)) + (2 )/(3 ^(3)) + (1)/(3 ^(4)) + (2)/(3 ^(5)) + (1)/(3 ^(6))+ (2)/(3 ^(7))+ …… upto infinite terms is equal to :