Question
Download Solution PDFThe remainder of the term 9 + 92 +..+ 9(2n+1) when divided by 6 is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
9 + 92 +..+ 9(2n+1)
Concept used:
When any odd multiple of 3 is divided by 6, it will leave a remainder of 3.
Calculations:
When any odd multiple of 3 is divided by 6, it will leave a remainder of 3. For e.g when 9 an odd multiple of 3 is divided by 6, you will get a remainder of 3.
9 is an odd multiple of 3. And all powers of 9 are odd multiples of 3.
Therefore, when each of the 8 powers of 9 listed above is divided by 6, each of them will leave a remainder of 3.
The answer is 3.
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