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Two arithmetic sequences have the same common difference.  The difference between their 100th terms is 100.  What is the difference between their 1000th terms?

 Aug 15, 2021
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First AP =1, 2, 3, 4, 5, .........100...[100th term]
2nd AP ==101, 102, 103, 104, 105,......200...[100th term]
The 2nd's 100th term==(200) - the 1st's 100th term==(100) ==100.
Therefore, the 1000th term of the 2nd AP ==2000, and the 1000th term of the 1st AP==1,000. And:
2000 - 1000 ==1,000

 Aug 15, 2021

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