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Maths TNSB Mentoring
Class 10
Numbers and sequences
Fundamental theorem of arithmetic
3.
TBQ - Give reason
Question:
2
m.
Examine whether \(6^n\), for any natural number \(n\), ends in the digit \(5\). Support your answer with a reason.
Answer
:
\(6^n\) cannot end with the digit \(5\).
\(6^n\) can end with the digit \(5\).
Reason
:
\(6^n\) has the multiples that can end with the digit \(5\).
\(6^n\) has the factor \(2\) and so it must be an even number.
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