Question

What can be the 1307th digit (after decimal) in the expansion of the number 24/7?

Answer 1

Given :   24/7  

To find : What can be the 1307th digit  (after decimal) in the expansion of the number 24/7?

Solution:

24/7  =  3.42857  ( Bar on 42857 )

24/7  = $3.\overline{42857}$

There are 5 Digits 42857 repeating

5n + 1  th Digit  = 4

5n + 2 nd Digit  = 2

5n + 3rd Digit = 8

5n  + 4th Digit = 5

5n      Digit = 7

1307  = 1305 + 2

= 5 (261)  + 2

5n + 2 nd Digit  = 2

Hence 1307th digit   will be 2  (after decimal) in the expansion of the number 24/7

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