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7 6n - 6 6n, where n is an integer greater than 0, is divisible by

Correct Answer: 127

Explanation:

For n =1
76n - 66n = 76 - 66
⇒ ( 73 )2 - ( 63 )2
⇒ ( 73 - 63 )( 73 + 63 )
= ( 343 - 216 )( 343 + 216 )
= 127 x 559
∴ it is clearly divisible by 127.


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