Two APs have the same common difference .The difference between the 100 th term is 100.what is the difference beteen the 1000 th term?

Question

Arun · Answer

Let two A.P's have the first terms a , a' and common difference d.
Given that difference between their 100th term is 100.
then a + 99d - a' - 99d = 100
⇒ a - a' = 100.
Now difference between 1000 th term is
⇒ a + 999d - a' - 999d
= a - a'
= 100
∴ difference between 1000 th term is 100.

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Two APs have the same common difference .The difference between the 100 th term is 100.what is the difference beteen the 1000 th term?

Two APs have the same common difference .The difference between the 100^th term is 100.what is the difference beteen the 1000^th term?

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Two APs have the same common difference .The difference between the 100 th term is 100.what is the difference beteen the 1000 th term?

Two APs have the same common difference .The difference between the 100th term is 100.what is the difference beteen the 1000th term?

1 Answers

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Two APs have the same common difference .The difference between the 100^th term is 100.what is the difference beteen the 1000^th term?