Question

The common difference of an ap root 5 root 20 root 45 root 80

Answer 1

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Answer 2

The common difference of an A.P is $\sqrt{5}$.

Step-by-step explanation:

Given : A.P. $\sqrt{5},\sqrt{20},\sqrt{45},\sqrt{80},...$

To find : The common difference of an A.P ?

Solution :

A.P. $\sqrt{5},\sqrt{20},\sqrt{45},\sqrt{80},...$

Here, First term is $a_1=\sqrt{5}$

Second term is $a_2=\sqrt{20}$

The common difference is $d=a_2-a_1$

$d=\sqrt{20}-\sqrt{5}$

$d=2\sqrt{5}-\sqrt{5}$

$d=\sqrt{5}(2-1)$

$d=\sqrt{5}$

Therefore, the common difference of an A.P is $\sqrt{5}$.

#Learn more

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