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- Using binomial theorem prove that 2^(3n)-7n-1 is divisible by 49, wher...
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- Find the 11^( th) term from the end in the expansion of (2 x-1/(x^2))...
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- Find the coefficient of x^10 in the expansion of (2x^2-3/x)^11
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- Consider the expansion of (3x^2-1/(2x^3))^10 Find the term independent...
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- Find the middle term in the expansion of (a/x+b x)^(12).
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- If the first three terms in the expansion of (1+ax)^n are 1,6x and 16x...
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- In the expansion of (1+x)^(43), the coefficients of (2 r+1)^(t h) and ...
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- Expand (1-x+x^2)^4
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- Show that the coefficient of middle term in the expansion of (1+a)^8 i...
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- i) Which is the general term in the expansion of (a+b)^n ii) Find the...
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- i) Which is the (r+1)^ (th) term in the expansion of (a+b)^n ii) Whi...
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- Let cr denote the binomial coefficient "^nCr Hence, show that C1/C0+2C...
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- Using the expansion in simplify (a+b)^6+(a-b)^6
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- Expand the following by using binomial theorem (i) (-3 x-1/(3 x))^3 ...
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- Find the positive value of m for which the coefficient of x^2 in the e...
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- The first three terms in the expansion of (1+a x)^n are 1,12 x,64 x^2....
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- Expand (a+b)^6-(a-b)^6. Hence find the value of (sqrt2+1)^6-(sqrt2-1)^...
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- Write the middle term in the expansion of the following, (x-1/(2y))^...
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- Show that the middle term in the (1+x)^2n expansion os is (1.3.5.....(...
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- Using binomial theorem, prove that 6^n-5 n always leavęs remainder 1 w...
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