Question

Two APs have the same common difference. The difference between their 100th

terms is 100, what is the difference between their 1000th terms?



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Answer 1

let first term =a let first term =b

common difference=d common diff=d

a100= a+99d

b100= b+99d

a100-b100=a-b

a-b=100

a1000=a+999d

b1000=b+999d

a1000-b1000 =a-b

a-b=100

so the common difference is 100 answer

Answer 2

Answer:

The difference between it's 1000th terms will also be 100 because it is an AP. All AP have same common difference.

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