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 each of the following infinite series : 2/5+3/5^(2)+2/5^(3)+3/5^(4)+...oo

Find the sum of the infinite series. 1/(1.2)+1/(2.3)+1/(3.4)+...

Find the sum of the infinite series. 1/(1.5)+1/(3.7)+1/(5.9)+...

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 infinite series. 1/(1.2.3)+1/(2.3.4)+1/(3.4.5)+...

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 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 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 following series: 1/2+1/(3^2)+1/(2^3)+1/(3^4)+1/(2^5)+1/(3^6)+oo