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Prove by the method of induction that every even power of every odd integer greater than 1 , when divided by 8 leaves the remainder 1.

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Similar questions

Q. Every even power of every odd number greater than

1

when divided by

8

leaves the remainder

Every even power of an odd number greater than 1 when divided by 8 leaves 1 as the remainder.The inductive step for the above statement is

Q. Prove that every even power of every odd number is of the form

8 r + 1

Every multiple of a number leaves a remainder of ____ when divided by the number.

Q. Show that every number and its cube when divided by

6

leave the same remainder.

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