Question

when expresse as a repeating decimal the fraction1/7is written as 0.142857142857.. (The 6 diges
142857 continue to repeat.) The digit in the third position to the right of the decimal point is 2 In
which one of the following position to the right of the decimal point will there also be a 2?
(1) 119
(2) 121
(3) 123
(4) 125​

Answer 1

Answer:

The digits are repeating after 6 digits , first 2 is at 3rd place so next will be 2+6 = 8 , 14 , 20 ..... and so on.

In general it is an arithmetic series with first term 3 and common difference 6 . It's general term will be

= a + (n-1)d

= 3 + (n - 1)6

= 6n - 3

=3(2n-1)

It's multiple of 3

Ans option 3 (1+2+3 = 6)