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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
- If the second term of the expansion [a^(1/13)+(a/sqrt(a^(-1))] is 14a^...
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- (1+x)(1+x+x^2)(1+x+x^2+x^3)…….(1+x+x^2+…….+x^(100)) when written in th...
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- The value of {3^(2003)/28}=a/b where {} denotes the fractional part th...
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- The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^11 is lamda ....
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- The fractional part of the sum of all the rational terms in the expans...
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- Find the last three digits of (17)^256
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- Find the term independent of x in the expansion of [(t^(-1)-1)x+(t^(-1...
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- If ak=1/(k(k+1)) for k=1 ,2……..,n then prove that (sum(k=1)^n ak)^2 =n...
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- Find the unit digit in the number 17^(1995)+11^(1995)-7^(1995)
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- If ((1+x)/(1-x))^n=1+a1x+a2x^2+…….+arx^r+…….. then prove that a1+a2+a3...
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- Prove that ^nC0 "^(2n)Cn-^nC1 ^(2n-2)Cn +^nC2 ^(2n-4)Cn =2^n
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- If (1+x)^n=a0+a1x+a2x^2+…….+anx^n then prove that (1+(a/a0))(1+(a2)/(a...
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- Prove that the following identity about binomial coefficients ((n),(0)...
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- The terms independent of x in (3/2(x^2)-1/(3x))^9 is
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- The 10^(th) term in the expansion of (2x^2+1/x)^(12) is
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- If the 6th term in the expansion of (1/x^(8//3)+x^2log(10)x)^8 is 5600...
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- The coefficient of x^5 in the expansion of (x^2-x-2)^5 is
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- The sum of series ,^20C0-^20C1+^20C2-^20C3+.....+ ^20C10 is
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- ^8C2+^8C3+^8C4+....^8C7 is equal to
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- .^18C15+2(.^18C16)+^17C16+1=^nC3, then n is equal to
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