For two parallel first order reactions

A=B and A=C

activation energies are respectively 20 kilo cal/mol. and 40kilo cal./mol.. the yields of B and C products are 40% and 60%.

Find overall energy of activation of reaction.

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Sum of series 2[n/2] ! [n/2]!/ n! [2Co-2C2+3C2....+[-1]^n[n+1]2Cn] where n is an even positive integer. Kindly provide solution of this question and how to generalise this. How do we know that which expansion will give this?