C_(0)-C_(2)+C_(4)-C_(6)+...

If (1 + x)^(n) = C_(0) + C_(1)x + C_(2)x^(2) + C_(3) x^(3) + C_(4) x^(4) + ..., find the values of (i) C_(0) - C_(2) + C_(4) - C_(0) + … (ii) C_(1) - C_(3) + C_(5) - C_(7) + … (iii) C_(0) + C_(3) + C_(6) + …

If (1 + x)^(n) = C_(0) + C_(1)x + C_(2)x^(2) + C_(3) x^(3) + C_(4) x^(4) + ..., find the values of (i) C_(0) - C_(2) + C_(4) - C_(0) + … (ii) C_(1) - C_(3) + C_(5) - C_(7) + … (iii) C_(0) + C_(3) + C_(6) + …

If C_(0), C_(1), C_(2),C_(3),..., C_(n) are the binomial coefficients in the expansion of (C_(0))/(1)+(C_(2))/(3)+(C_(4))/(5)+(C_(6))/(7)+..., is equal to

If for z as real or complex,(1+z^(2)+z^(4))^(8)=C_(0)+C1z2+C2z4++C_(16)z^(32)then(a)C_(0)-C_(1)+C_(2)-C_(3)+C_(16)=1(b)C_(0)+C_(3)+C_(6)+C_(9)+C_(12)+C_(15)=3^(7)(c)C_(2)+C_(5)+C_(6)+C_(11)+C_(14)=3^(6)(d)C_(1)+C_(4)+C_(7)+C_(10)+C_(13)+C_(16)=3^(7)

If for z as real or complex, (1+z^2+z^4)^8=C_0+C_1z^2+C_2z^4+...+C_(16)z^(32) then prove that C_(0) - C_(1) + C_(2) - C_(3) + "….." + C_(16) = 1 and C_(0) + C_(3) + C_(6) + C_(12) + C_(15) = 3^(7)

If C_(0), C_(1), C_(2), C_(3),.., C_(n) are the binomial coefficients in the expansion of (1+x)^(n) , then (C_(0))/(1)+(C_(2))/(3)+(C_(4))/(5)+(C_(6))/(7)+...... =

What is the general formula of alkenes? Identify the alkenes from the following? C_(2)H_(6), C_(2)H_(4), C_(3)H_(4), C_(2)H_(2), C_(3)H_(6) Which of the following can give addition reactions? C_(2)H_(6), C_(3)H_(8), C_(3)H_(6), C_(2)H_(6), C_(2)H_(2), CH_(4) Give reason for your choice.