Question

what is the common difference between 3,√3,1,1/√3?

Answer 1

1 hope it helps you as it is the smallest value

Answer 2

Answer

There is no common difference,.

E.g : $a_n - a_{n-1} = d$   (A.P)

$a_2 - a_1 = d$

√3 - 3 = √3(1 - √3)

⇒ $d_1$ = √3(1 - √3)

$a_3 - a_2 = d$

⇒ 1 - √3 = 1 - √3

$d_2$= 1 - √3

Since, $d_1$ ≠ $d_2$

There is no common difference,.

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But there is common ratio,.

$r = \frac{a_n}{a_{n-1}}$

⇒ $r = \frac{a_2}{a_1}$ = $\frac{3}{\sqrt{3} } = \sqrt{3}$

⇒ $r = \frac{a_3}{a_2}$ = $\frac{\sqrt{3} }{1} = \sqrt{3}$

⇒ Common ratio = √3.

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Hope it Helps!!