Question

Two APs have the same common difference. The difference between their 100th term is 111 222 333.whats the difference between their 1000th 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

Answer 2

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