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PATHFINDER-BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION-QUESTION BANK
- Find the coefficient of x^5 in the expression of (1+x^2)^5(1+x)^4.
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- Which term in the expansion of (1+x)^p(1+1/x)^q is independent of x, w...
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- Determine the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n.
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- Determine the x-free term in (sqrtx-sqrtc/sqrtx)^10.
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- Show that the sum of the coefficients of all odd terms in the expansio...
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- Find the fifth term form the end in the expansion of (sqrtx/3+2/5x)^11...
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- Show that the middle term in the expansion of (x+1)^(2n) is (1.3.5.......
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- The first three terms in the binomial expansion of (x+y)^n are 1,56 an...
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- If n be a positive integer, then by using binomial theorem show that 3...
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- Find the greatest value of the term independent of x in the expansion ...
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- Find the coefficient of x in the expansion (1-x^2+2x^4)(1-1/x)^6.
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- If (1+x+x^2)^n=a0+a1x+a2x^2+.......+a(2n)x^(2n), then prove that a0+a2...
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- If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x...
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- If the coefficients of four consecutive terms in the expansion of (1+x...
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- The 3rd,4th and fifth terms in the expansion of (x+a)^n are 252, 1512,...
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- The coefficient of three consecutive terms in the expansion of (1+x)^n...
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- Find the number of integral terms in the expansion of (5^(1/2)+7^(1/8)...
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- Show that the integral part of the value of (9+4sqrt5)^n is odd for po...
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- If the 3rd, 4th. 5th and sixth term in the expansion of (x+alpha)^n ar...
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- If coefficient of x^2 and x^11 are 27 and -192 respectively of (1+ax+2...
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