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Using binomial theorem, prove that 6^n-5...

Using binomial theorem, prove that `6^n-5n`always leaves remainder 1 when divided by 25.

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To prove that \( 6^n - 5n \) always leaves a remainder of 1 when divided by 25 using the Binomial Theorem, we can follow these steps: ### Step 1: Rewrite \( 6^n \) We can express \( 6^n \) as \( (1 + 5)^n \). ### Step 2: Apply the Binomial Theorem Using the Binomial Theorem, we expand \( (1 + 5)^n \): \[ ...
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