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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
- Find the positive integer just greater than (1+0. 0001)^(10000)dot
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- Find the last digit of 17^(256)dot
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- If 10^m divides the number 101^(100)-1 then, find the greatest value o...
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- Using the principle of mathematical induction, prove that (2^(3n)-1) i...
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- If x is very large as compare to y , then prove that sqrt(x/(x+y))dot...
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- Find the coefficient of x^n in the expansion of (1-9x+20 x^2)^(-1)dot
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- Prove that the coefficient of x^r in the expansion of (1-2x)^(-1/2) is...
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- Find the sum: 1-1/8+1/8xx3/(16)-(1xx3xx5)/(8xx16xx24)+...
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- Show that sqrt3 =1+1/3+(1/3).(3/6)+(1/3).(3/6).(5/9)+.......
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- Assuming x to be so small that x^2 and higher power of x can be neg...
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- Find the sum sumsum(0lt=i<jlt=n-1)^n Cidot
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- Find the condition for which the formula (a+b)^m = a^m+m a^(m-1)b+(m(...
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- Find the value of x , for which 1/(sqrt(5+4x)) can be expanded as infi...
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- Find the fourth term in the expansion of (1-2x)^(3//2)""dot
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- Prove that ^nC0 "^(2n)Cn-^nC1 ^(2n-2)Cn +^nC2 ^(2n-4)Cn =2^n
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- Prove that ^n C0 .^n C0-^(n+1)C1 . ^n C1+^(n+2)C2 . ^n C2-=(-1)^ndot
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- The sum of the coefficients of all the integral powers of x in the exp...
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- If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...
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- Prove that sum(alpha+beta+gamma = 10) (10 !)/(alpha!beta!gamma!)=3^(10...
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- If (1+x-2x^2)^(20)=a0+a1x+a2x^2+a3x^3+...+a(40)x^(40), then find the v...
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