two APS have the same common difference the difference between their hundred term is hundred what is the difference between their thousand term
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Here is the answer.
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Let the first term of the first AP be a
Let the first term of the second AP be a'
Let their common difference be d
A/Q,
a100 - a'100 = 100
=> a + 99d - a'- 99d = 100
=> a - a' = 100.............(1)
Now,
a1000 - a'1000
= a + 999d - a' - 999d
= a - a'
= 100.....From (1)
So, the answer is 100
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