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Question

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


Solution

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

 

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