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The sum of the infinite series 1+(1+1/5)...

The sum of the infinite series `1+(1+1/5)(1/2)+(1+1/5+1/(5^2))(1/(2^2))+...`

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The sum of the infinite series 1+(1+(1)/(2))((1)/(3))+(1+(1)/(2)+(1)/(2^(2)))((1)/(3^(2)))+...oo

Q.the sum of the infinite series 1+(2)/(3)*(1)/(2)+(2)/(3)*(5)/(6)*(1)/(2^(2))+(5)/(3)*(5)/(6)*(8)/(9)*(1)/(2^(3))+... is

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

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

The sum of the infinite series ((1)/(3))^(2)+(1)/(3)((1)/(3))^(4)+(1)/(5)((1)/(3))^(6)+...... is

The sum of the infinite series is (1)/(1.3)+(1)/(3.5)+(1)/(5.7)+...oo(A)(1)/(7)(B)(1)/(3)(C)(1)/(5) (D) (1)/(2)