निकालिए `1+(1)/(2)+(1)/(4)+(1)/(8)+............n` पदों तक

Sum the following series to n terms and to infinity 1- (1)/(2) + (1)/(4)-(1)/(8) +....

Prove that by using the principle of mathematical induction for all n in N : (1)/(2)+ (1)/(4)+ (1)/(8)+ ......+ (1)/(2^(n))= 1-(1)/(2^(n))

Prove that by using the principle of mathematical induction for all n in N : (1)/(2)+ (1)/(4)+ (1)/(8)+ ......+ (1)/(2^(n))= 1-(1)/(2^(n))

Prove that by using the principle of mathematical induction for all n in N : (1)/(2)+ (1)/(4)+ (1)/(8)+ ......+ (1)/(2^(n))= 1-(1)/(2^(n))

the sum of the series (1)/(log_(2)4)+(1)/(log_(4)4)+(1)/(log_(8)4)+.........+(1)/(log_(2)^(n)4)

If A= 1/(1xx2)+1/(1xx4)+1/(2xx3)+1/(4xx7)+ 1/(3xx4)+1/(7xx10) ...... upto 20 terms, then what is the value of A? यदि 1/(1xx2)+1/(1xx4)+1/(2xx3)+1/(4xx7)+ 1/(3xx4)+1/(7xx10).....20 पदों तक हो, तो A का मान क्या है?

Prove that by using the principle of mathematical induction for all n in N : (1)/(2.5)+ (1)/(5.8) + (1)/(8.11)+ ...+(1)/((3n-1)(3n+2))= (n)/(6n+4)

Prove that by using the principle of mathematical induction for all n in N : (1)/(2.5)+ (1)/(5.8) + (1)/(8.11)+ ...+(1)/((3n-1)(3n+2))= (n)/(6n+4)