Question
Using binomial theorem, prove that always leaves remainder 1 when divided by 25.
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Text solutionVerified
Solution:
, where
As, is always positive, so will always be divisible by .
Thus, if we divide by , remainder will be .
, where
As, is always positive, so will always be divisible by .
Thus, if we divide by , remainder will be .
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Question Text | Using binomial theorem, prove that always leaves remainder 1 when divided by 25. |
Answer Type | Text solution:1 |
Upvotes | 150 |