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निम्न श्रेणियों के n पदों का योग कीजिए |...

निम्न श्रेणियों के n पदों का योग कीजिए |
`1+(1+(1)/(2))+(1+(1)/(2)+(1)/(4))+(1+(1)/(2)+(1)/(4)+(1)/(8))+`….

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1 + (1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) + ...

(1)/(1+x)+(1)/(2)(1)/(1+x^((1)/(2)))+(1)/(4)+(1)/(1+(1)/(8))+

(1)/(4)" " (1)/(2) " "(3)/(4)" "1" "1(1)/(4)" "1(1)/(2)" "1(3)/(4) ?

1 4/(8)-:1(2)/(8)xx1(2)/(4)+2(1)/(2)-1(1)/(4)

Simplify : 8 (1)/(2)-[3 (1)/(4)-:{1(1)/(4) - (1)/(2) ( 1 (1)/(2)-(1)/(3)-(1)/(6))}]

(1)/(2)+(1)/(4)+(1)/(8)+(1)/(16)+......+(1)/(2^(n))=1-(1)/(2^(n))

1/(3 .1!)+(1)/(4.2!) +(1)/((n+2))=. . .

If a_(n)=1+(1)/(2)+(1)/(3)+(1)/(4)+(1)/(5)+ . . . .+(1)/(2^(n)-1) , then