Question

Two APs have the same common difference. The difference between their 100th terms is
100, what is the difference between their 1000th terms?​

Answer 1

Answer: 100

Step-by-step explanation:

Let the APs be

1) a1 , a1 + d, a1 + 2d, ...... And

2) a2, a2+d, a2 + 2d, ......

Then, difference in 100th term = 100

a1 + 99d - a2 - 99d = 100

So, a1 - a2 = 100......

Now, difference in 100th term

= a1 + 999d - a2 - 999d

= a1 - a2 = 100.....

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