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+(1)/(10)+(2)/(10^(2))+(2)/(10^(3))+(2)/...

+(1)/(10)+(2)/(10^(2))+(2)/(10^(3))+(2)/(10^(4))+..........

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The sum of infinite series (1)/(10)+(2)/(10^(2))+(3)/(10^(3))+...+(n)/((10)^(n)) is

(7) / (5) (1+ (1) / (10 ^ (2)) + (1.3) / (1.2) (. 1) / (10 ^ (4)) + .... oo) =

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))+....)

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))+....)

((10),(1)) + ((10),(2))+((11),(3))+((12),(4))+((13),(5)) = ........

1+ (1)/(10^2) + (1.3)/(1.2). (1)/(10^4) + (1.3.5)/(1.2.3) . (1)/(10^6) + …… oo =

1+ (1)/(10^2) + (1.3)/(1.2). (1)/(10^4) + (1.3.5)/(1.2.3) . (1)/(10^6) + …… oo =

(1/4)^(-10)xx(2/5)^(-10)

Prove that ^10C_(1)(x-1)^(2)-^(10)C_(2)(x-2)^(2)+^(10)C_(3)(x-3)^(2)+...-^(10)C_(10)(x-10)^(2)=