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

Guest Aug 15, 2021

#1**0 **

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**

Guest Aug 15, 2021