Question

Two APs have the same command difference . the difference between their 100th terms is 100, what is the difference between their 1000th terms

Answer 1

Answer:

100

Step-by-step explanation:

Let the first term of first AP be a1 and second AP be a2

100th term of first AP = a1 + 99d

100th term of second AP = a2 + 99d

Difference =  (a1 + 99d) - (a2 + 99d) = 100

a1 - a2 = 100 ----------------(1)

1000th term of first AP = a1 + 999d

1000th term of second AP = a2 + 999d

Difference =  (a1 + 999d) - (a2 + 999) = a1-a2

From (1) a1-a2=100