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Show that 6^n-5^n always end with …

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Show that 6^n-5^n always end with digit 1.

Posted by Kajal Rohilla., 31 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 5 months ago

6^n, where n is any positive integer, always ends with 6. Eg :- 6^2 = 36, 6^3 = 216, etc. Whereas, 5^n , for any value of n, always ends in 5. Eg :- 5^2 = 25, 5^4 = 625, etc. Therefore, since 6 - 5 is always equal to one, the no 6^n - 5^n always ends with one.

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CBSE > Class 10 > Mathematics