Question

Two ap's have same common difference . The difference between their 100th terms is 100. Find the difference between their 1000th terms

Answer 1

For first AP,
first term = A1
For second AP
first term = A2

given: A1 + 99d - A2 - 99d = 100
A1 - A2 = 100

diff. of 1000th terms:
A1 + 999d - A2 - 999d
= A1 - A2 = 100.


:)