Question

Write the first three terms of the AP when a and d are as given below:

$a=\sqrt{2},d=\frac{1}{\sqrt{2}}$
then first three terms are $\sqrt{2},\frac{3}{\sqrt{2}},\frac{4}{\sqrt{2}}$

• A. True
• B. False

Answer 1

The correct option is A True

Here
$a_1=a=\sqrt{2}$
$a_2=a+d=\sqrt{2}+\frac{1}{\sqrt{2}}=\frac{3}{\sqrt{2}}$
$a_3=a+2d=\sqrt{2}+2\times \frac{1}{\sqrt{2}}=\frac{4}{\sqrt{2}}$
$\therefore 1^{st}$ three terms of an A.P. are

$\sqrt{2},\frac{3}{\sqrt{2}},\frac{4}{\sqrt{2}},.....$