Question

Verify that each of the following is an AP, and then write its next three terms
√3, 2√3, 3√3​

Answer 1

Answer:

Step-by-step explanation:

In the given sequence:

$\sqrt{3}$,$\sqrt[2]{3}$,$\sqrt[3]{3}$

a= $\sqrt{3}$

d= $a_{2}$ -$a_{1}$ = $a_{3}$ -

⇒$\sqrt[2]{3}$ - $\sqrt{3}$, = $\sqrt[3]{3}$ -

∴a= $\sqrt{3}$

& d= $\sqrt{3}$

the next three terms are

$\sqrt[4]{3}$,$\sqrt[5]3}$,$\sqrt[6]{3}$

Hope it is helpful