Given:
The digit is 0.6295.
Required:
To find the 275th digit after the decimal point in the repeating decimal 0.6295.
Explanation:
For any non-negative integer, we have:
The 4n+1th digit after the decimal point is 6.
The 4n+2th digit after the decimal point is 2
The 4n+3th digit after the decimal point is 9
The 4n+4th digit after the decimal point is 5.
Since the repeating digit is 4 and we have to find the 275th digit.
Thus
[tex]\frac{275}{4}=68\text{ with remainder 3}[/tex]It can be written as:
275 = 4. 68 + 3
That is 275th digit after the decimal point in the repeating decimal is 9 with n= 68.
Final answer:
Thus option k is the correct answer.
