NTA Abhyas JEE Main2020MathematicsSequences and SeriesPractice

The sum to infinity of the series 1 + 4 5 + 7 5 2 + 10 5 3 + … is

Options

A16 25
B11 5
C35 16
D8 11

Correct answer

C. 35 16

Step-by-step solution

S = 1 + 4 5 + 7 5 2 + 10 5 3 + … + ∞ ... (1) S 5 = 0 + 1 5 + 4 5 2 + 7 5 3 + … + ∞ ... (2) On subtracting both the eq (1) and (2), we get, 4 5 S = 1 + 3 5 + 3 5 2 + … + ∞ S = 35 16

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