NTA Abhyas JEE Main2020MathematicsSequences and SeriesPractice

The sum (upto two decimal places) of the infinite series 7 17 + 77 1 7 2 + 777 1 7 3 + . . . . . . . is

Options

A1.06
B2.06
C3.06
D4.06

Correct answer

A. 1.06

Step-by-step solution

S = 7 17 + 77 1 7 2 + 777 1 7 3 + . . . . . . . S 17 = 7 17 2 + 77 17 3 + 777 17 4 + . . . . . . . . Subtracting both the above results, we get, 16 17 S = 7 17 + 70 17 2 + 700 17 3 + . . . . . . . I n f i n i t e G . P . w i t h r = 10 17 16 17 S = 7 17 1 - 10 17 = 7 17 7 17 = 1 S = 17 16

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