Question

TWO A.PS HAVE THE SAME COMMON DIFFERENCE. THE DIFFERENCE BETWEEN THEIR 100TH TERMS IS 100.WHAT IS THE DIFFERENCE BETWEEN THEIR 1000TH TERM​

Answer 1

Since the common differences of both APs are equal, the difference between their hundredth terms = a1-a2 = 100 where a1 and a2 are the first terms of the two APs. Let first AP be A,A+D,A+2d,…. and second AP be B,B+D,B+2d,… Difference Between 1000th terms=A+999d-B-999d=A-B=100.

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