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dusya [7]
3 years ago
12

Find the 5th term of the arithmetic sequence -5x – 9, 2x – 14, 9x – 19,...

Mathematics
1 answer:
grin007 [14]3 years ago
4 0
The answers 5 because I looked it up
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Prove that: 5^31–5^29 is divisible by 100.
ANEK [815]

Answer:

See explanation

Step-by-step explanation:

Consider the expression

5^{31}-5^{29}

First, factor it:

5^{31}-5^{29}=5^{29}\cdot(5^2-1)=5^{29}\cdot (25-1)=24\cdot 5^{29}

Note that

100=25\cdot 4

Then

5^{31}-5^{29}=24\cdot 5^{29}=6\cdot 4\cdot 25\cdot 5^{27}=6\cdot 100\cdot 5^{27}

This shows that number 100 is a factor of the expression 5^{31}-5^{29} and, therefore, this expression is divisible by 100.

5 0
3 years ago
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