Question

11. Write the sum of √2 + √8+ √18 +√32 + ...... upto n terms​

Answer 1

$\frac{n(n + 1)}{ \sqrt{2} }$

Step-by-step explanation:

$\sqrt{2} + 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} + ..............n terms \\ = \sqrt{2} (1 + 2 + 3 + ......n) \\ = \sqrt{2} \frac{n(n + 1)}{2} \\ = \frac{n(n + 1)}{ \sqrt{2} }$

Answer 2

Answer:

√2(1+3+4+......n)

Step-by-step explanation:

=(√2+3√2+4√2.......n)

=√2(1+3+4.........n)