Question

Two AP have the common difference .the difference between their 100th terms is 111,222,333.what is difference between their millionth terms

Answer 1

Let the common difference be 'd 'and the first terms of two A.Ps be a1 & a2

100th term it 1st A.P - 100th term of 2nd A.P = 111222333
(a1+99d)-(a2+99d) = 111222333
a1+99d-a2-99d = 111222333

(a1-a2) = 111222333

Difference between their millionth term
= (a1+99999d)-(a2+99999d)
= a1+99999d-a2-99999d
= a1-a2
=​​111222333