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AAKASH SERIES-BINOMIAL THEOREM-ADDITIONAL SOLVED EXAMPLES
- Find the value of sum(i=1)^n sum(i=1)^n sum(k=1)^n 1
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- Find the value of sum(i=1)^n sum(i=1)^n sum(k=1)^n k
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- Find sum(i=1)^n sum(i=1)^n sum(k=1)^n (ijk)
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- Prove that sum(1lt=ilt) sum(jlt=n)(i) = (n (n^2 - 1))/(6)
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- sum(1lei)sum(ltjle n)ij=((sum(i=1)^(n)i)^(2)-(sum(i=1)^(n)i^(2)))/(2)
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- Prove that sum(0lt=i)sum(ltjlt=n) (Ci +Cj)= n.2^n
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- If (1+x)^n = C0 + C1x + C2x^2 + ……..+Cn.x^n then find C0 - C2 + C4 - C...
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- If (1+x)^n = C0 + C1x + C2x^2 + ……..+Cn.x^n then find C1 - C3 + C5 + …...
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- If (1 + x + x^2)^n = C0 + C1x + C2x^2 + C3x^3 + ……..Cnx^n then find C0...
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- If x is nearly equal to 1 then find the value of (mx^m - nx^n)/(m- n)
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