Question

2 AP's have same common difference the difference between their 100th term is 100. What is the difference between their 1000th term

Answer 1

Let two A.P's have the first terms a , a'
and common difference d.

Given that difference between their 100th term is 100.
then a + 99d - a' - 99d = 100

⇒ a - a' = 100.
Now difference between 1000 th term is
⇒ a + 999d - a' - 999d = a - a' = 100

∴ difference between 1000 th term is 100.