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in Binomial theorem by (52.7k points)

The sum of the series 1 + 3/2! + 7/3! + 15/4! + .... to ∞ is

(A)  e(e + 1)

(B)  e(e - 1)

(C)  3e - 1

(D)  3e

1 Answer

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Best answer

Correct option  (B)  e (e - 1)

S = 1 + 3 + 7 + 15 + .... + Tn  ......(1)

S = 1 + 3 + 7 + 15 + ....+ Tn  .........(2)

Subtracting Eq. (2) from (1), we get

0 = 1 + 2 + 4 + 8 + . . . . . upto n terms − Tn

Tn = 2n - 1

Therefore,

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