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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
- Prove that (C1)/1-(C2)/2+(C3)/3-(C4)/4+....+((-1)^(n-1))/n Cn=1+1/2+1/...
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- Prove that underset(r=0)overset(n)sum .^(n)C(r )sin rx. cos (n-r)x = 2...
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- Find the last two digits of the number (23)^(14)dot
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- Find the last two digits of the number 27^(27)dot
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- Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^9+(...
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- Find the value of (sqrt(2)+1)^6-(sqrt(2)-1)^6dot
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- Using the binomial theorem (without using the formula for .^(n)C(r)), ...
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- Find the value of .^(4n)C0+^(4n)C4+^(4n)C8+...+""^(4n)C(4n) .
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- Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...
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- Find the coefficient of x^(n) in the polynomial (x+.^(n)C(0)) (x+3.^(n...
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- If (1+x)^(15)=C0+C1x+C2x^2++C(15)x^(15), then find the sum of C1+2C3+3...
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- Prove that (.^n C0)/1+(.^n C2)/3+(.^n C4)/5+(.^n C6)/7+ . . . =(2^n)/(...
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- Find the sum sumsum(0lt=i<jlt=n-1)^n Cidot
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- Show that the integer next above (sqrt(3)+1)^(2m) contains 2^(m+1), as...
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- Prove that (1^2)/3""^n C1+(1^2+2^2)/5""^n C2+(1^1+2^2+3^2)/7""^n C3+.....
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- Prove that (1)/(n+1)=(.^(n)C(1))/(2)-(2(.^(n)C(2)))/(3)+(3(.^(n)C(3)...
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- Find the sum 2..^(10)C(0) + (2^(2))/(2).^(10)C(1) + (2^(3))/(3).^(1...
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- If in the expansion of (2x+5)^(10) , the numerically greatest term in ...
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- Find the value of (1)/(81^(n))-(10)/(81^(n)).^(2n)C(1) + (10^(2))/(8...
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- Find the value of 5C3 + 4C2
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