20 - Binomial Theorem Questions Answers

sum of the coefficients of even powers of x in the expansion of (1-3x+2x^2)^11 is

Asked By: PRADEEP RAO 3 year ago
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If (1+x+x2)3p =a0+a1x+a2x2+........... and (x-1)3p= x3p-k1 x3p-1 +k2x 3p-2 ........then the value of a0-a1 k1+a2k2-a3k3=?

Asked By: MALVIKA SINGH 4 year ago
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f(x)=x^5+ax^4+bx^3+cx^2+d;f(1)=1,f(2)=2,f(3)=3,f(4)=4,f(5)=5,then value of d is

Asked By: R.VAGESHA VARDAN 4 year ago
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Find coefficient.of xin the expansion of [ 1 + (x/1!) + (x2/2!)+...(x2/n!)]

Asked By: RESHU SINGH 5 year ago
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Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

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Maths >> Algebra >> Binomial Theorem Engineering Exam

Find sum of series..1*(n)2  + 2*(n-1)+3*(n-2)2 +...+n .

Asked By: RESHU SINGH 5 year ago
is this question helpfull: 9 3 submit your answer
Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

general term of the series = r(n+1-r)= r(n+1)2 + r3 - 2(n+1)r2

now put sigma then solve                                       

Let n=3100  ,then for n  the value of tens digit is what??

Asked By: RESHU SINGH 5 year ago
is this question helpfull: 7 1 read solutions ( 1 ) | submit your answer

If x+y = 1 ,then ∑ r  nCrxryn-requals nx....How??

Asked By: RESHU SINGH 5 year ago
is this question helpfull: 6 1 submit your answer
Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

  ∑ r nCrxryn-r

∑ r nCrxr(1-x)n-r

∑ r n!/r!(n-r)xr(1-x)n-r

= n (n-1)!/(r-1)!(n-r)! xr(1-x)n-r 

= n (n-1)C(r-1) xr(1-x)n-r

= n (n-1)Cxr+1(1-x)n-r-1             let r = r+1

= nx  (n-1)Cxr(1-x)n-r-1 

now solve 

What is the value of 0⁄0? if its otherthan 1, then how this can be true:      lim      (ex-1)/x = 1

                                                                                                                                x −−>0

Asked By: BONEY HAVELIWALA 5 year ago
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Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

exact 0 and lim tends to 0 are different

The probablity that out of 10 person, all born in june, at least two have the same birthday is?

Asked By: MANISH GUPTA 6 year ago
is this question helpfull: 11 4 read solutions ( 1 ) | submit your answer

What is the coefficient of  x49 in (x-1)(x2-2)(x3-3)................(x10-10) ?

Asked By: RUHANI SETH 6 year ago
is this question helpfull: 9 2 read solutions ( 1 ) | submit your answer

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