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Question:
A21-a7=84 find common difference
Answer:

Let a is the first term and d is the common difference of the AP

Now, we know that an = a + (n - 1)d

Given, a21 - a7 = 84 

=> {a + (21 - 1)d} - {a + (7 - 1)d} = 84

=> a + 20d - a - 6d = 84

=> 14d = 84

=> d = 84/14

=> d = 6

So, the common difference of the AP is 6

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