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38 votes
52. What is the 275th digit after the decimal point in therepeating decimal 0.6295 ?F. 0G. 2H. 5J. 6K. 9

User Kynnemall
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1 Answer

13 votes
13 votes

Given:

The digit is 0.6295.

Required:

To find the 275th digit after the decimal point in the repeating decimal 0.6295.

Step-by-step 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


(275)/(4)=68\text{ with remainder 3}

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.

User John Papastergiou
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2.1k points