27. Two arithmetic progressions have the same common difference. The difference
between their 100th terms is 100, what is the difference between their 1000th terms?
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Answer:
A100=A+99d (1)
A1000=A+99d. (2)
a100=b+99d. (3)
a1000 =b+99d (4)
from 1 and 3
a+99d=b+99d=100
a-b=100
from 2 and 4
a+999d=b+999d
a-b
from equation (1)a-b=100
so the difference b/w 1000th term is 100
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