Question

TWO APs have the same common difference . the difference between their 100th term is 100 , what is the difference between their 1000th terms ?

Answer 1

Here is ur answer.........

Since the two APs have same common difference the difference b/w the 100th term and that of 1000th term is both 100.
Infact the difference b/w any two equal terms will be always zero.

Hope it helps!!☺☺

Answer 2

Let the terms of first AP be a,a+d... and terms of second AP be b,b+d......

Given the difference between their 100th terms is 100.

Therefore (a+99d)-(b+99d)=100

a+99d-b-99d=100

a-b=100(eq1)

Now the difference between their 1000th terms is

(a+999d)-(b+999d)

a+999d-b-999d

a-b

But we know a-b=100 from eq1.

So in this case also a-b=100.

Therefore the difference between their 1000th terms is also 100.