Find the sum of the following infinite series `1/2(1/5)^2+2/3(1/5)^3+3/4(1/5)^4+`

Find the sum of the following series to infinity: 1+2//5+3//5^2\ +2//5^3+3//5^4+.....oo

Find the sum of the following series to infinity: 1/3+1/(5^2)+1/(3^3)+1/(5^4)+1/(3^5)+1/(5^6)+oo

Find the sum of the following series: 1/2+1/(3^2)+1/(2^3)+1/(3^4)+1/(2^5)+1/(3^6)+...+oo

Find the sum of the infinite series 1.3/2+ 3.5/2^2+ 5.7/2^3+ 7.9/2^4+.......oo

If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3 1/5)^2+4^2+(4 4/5)^2+. . . . . , is (16)/5 m, then m is equal to: (1) 102 (2) 101 (3) 100 (4) 99

Find the sum of the following series to infinity: 1-1/3+1/(3^2)-1/(3^3)+1/(3^4)+oo

Find the sum of the following geometric series: 2/9-1/3+1/2-3/4+ to\ 5\ terms.

Prove that : Find the sum of the infinite series 1+(2)/(3).(1)/(2)+(2.5)/(3.6)((1)/(2))^(2)+(2.5.8)/(3.6.9)((1)/(2))^(3)+......oo

If the surm of the first ten terms of the series, (1 3/5)^2+(2 2/5)^2+(3 1/5)^2+4^2+(4 4/5)^2+........ , is 16/5m ,then m is equal to

Find the sum of the infinite series (7)/(5)(1+(1)/(10^(2))+(1.3)/(1.2).(1)/(10^(4))+(1.3.5)/(1.2.3).(1)/(10^(6))+....)