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prisoha [69]
4 years ago
8

Find remainderwhen 7^21 + 7^22 + 7^23 + 7^24 is divided by 25

Mathematics
1 answer:
Andrew [12]4 years ago
7 0
The remainder when 7^2+7^22+7^23+7^24 is divided by 25 is 0. To prove this, we first factor out the factor that is common to the terms of this mathematical expression. The common term is 7^21. The expression them become 7^21(1+7+7^2+7^3). We now have an expression that is easier to calculate. (1+7+7^2+7^3) is equal to 400, since 400 is divisible by 25, we can say that the value of the expression is divisible by 25.
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Answer:

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Step-by-step explanation:

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