`S=3^(10)+3^9+(3^9)/4+(3^7)/2+(5. 3^6)/16+(3^6)/16+(7. 3^4)/16+.....` upto infinite terms, then `(25/36) S` 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 :

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 :

If x = (1*3)/(3*6)+(1*3*5)/(3*6*9)+(1*3*5*7)/(3*6*9*12)+. . . to infinite terms, then 9x^(2) + 24 x =

If x = (1*3)/(3*6)+(1*3*5)/(3*6*9)+(1*3*5*7)/(3*6*9*12)+. . . to infinite terms, then 9x^(2) + 24 x =

(5)/(3.6)+(5.7)/(3.6.9)+(5.7.9)/(3.6.9.12)-…....=

(1.3)/(3.6)+(1.3.5)/(3.6.9)+(1.3.5.7)/(3.6.9.12)+…=

Find 3.7 + 5.10 + 7.13 + 9.16 + … upto 'n' term.