Question:medium
The statement $P(n) = 9^{n} - 8^{n}$, when divided by 8, always leaves the remainder
The statement $P(n) = 9^{n} - 8^{n}$, when divided by 8, always leaves the remainder
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To find remainders of expressions like $(8k+1)^n$, use the binomial theorem — all terms except the constant 1 will be divisible by 8.
Updated On: Apr 8, 2026
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The Correct Option is A
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