two AP have the same common difference. The difference between their hundred term is hundred , what is the difference between their thousand terms
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Two APs have the same common difference.The difference between their 100th term is 100,what isthe difference between their 1000th terms? Sol: Let two A.P's have the first terms a , a' and common difference d. Given that difference between their 100th term is 100.
Step-by-step explanation:
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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