The number N = 6 log 2 to the base 10 + log 31 to the base 10 lies between two successive integers whose sum is equal to (1) 5(2) 7(3) 9(4) 10

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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?

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