CBSE NCERT Solutions Chapter 5 Arithmetic Progressions Exercise 5.2 Question 12
12. Two AP's have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms.
Let first term of first AP =
Let first term of 2nd AP =
It is given that their common difference is same. Let their common difference be .
We want to find difference between their 1000th terms which means we want to calculate:
Putting equation (1) in the above equation we get,
Therefore, difference between their 1000th terms would be equal to 100.