[(1+x)^(15)=a_(0)+a_(1)x+.....+a_(1)],[sum_(r=1)^(15)r(a_(r))/(a_(r-1))=]

(1 +x)^15 = a_0 + a_1x +…..+a_15 x^15 rArr sum_(r = 1)^15 r (a_r)/(a_(r - 1)) =

(1 +x)^15 = a_0 + a_1x +…..+a_15 x^15 rArr sum_(r = 1)^15 r (a_r)/(a_(r - 1)) =

If (1+x) ^(15) =a_(0) +a_(1) x +a_(2) x ^(2) +…+ a_(15) x ^(15), then the value of sum_(r=1) ^(15) r . (a_(r))/(a _(r-1)) is-

If (1+x) ^(15) =a_(0) +a_(1) x +a_(2) x ^(2) +…+ a_(15) x ^(15), then the value of sum_(r=1) ^(15) r . (a_(r))/(a _(r-1)) is-

If a_(1),a_(2),a_(3)...b_(1),b_(1),b_(2),b_(3)...... are in AP. Such that a_(1)+b_(1)=a_(100)+b_(100)=16 and sum_(x=1)^(n)r(a_(r)+b_(r))=576 the find n

(1+x)^(n)=sum_(r=0)^(n)a_(r)x^(r)&b_(r)=1+(a_(r))/(a_(r-1))&prod_(r=1)^(n)b_(r)=((101)^(100))/(100!) then equals to: 99(b)100(c)101(d) None of these

(1+x)(sum_(r=0)^(n)nC_(r)x^(r))+(1+x^(2))(sum_(r=0)^(n-1)(n-1)C_(r)x^(r))+...(1+x^(n))(sum_(r=0)^(1)1C_(r)x^(r))=a_(0)+a_(1)x+, then the value of (a_(1))/(a_(n)+1)+(a_(1))/(a_(n))+(a_(2))/(a_(n-1))+......+(a_(n+1))/(a_(0)) is equal to

Let (1 + x)^(n) = sum_(r=0)^(n) a_(r) x^(r) . Then ( 1+ (a_(1))/(a_(0))) (1 + (a_(2))/(a_(1)))…(1 + (a_(n))/(a_(n-1))) is equal to

If (x^(2)+x+1)/(1-x) = a_(0) + a_(1)x+a_(2)x^(2)+"…." , then sum_(r=1)^(50) a_(r) equal to

If (x^(2)+x+1)/(1-x) = a_(0) + a_(1)x+a_(2)x^(2)+"…." , then sum_(r=1)^(50) a_(r) equal to