\(27\sqrt{2}\)
\(27\sqrt{6}\)
\(81\sqrt{2}\)
\(81\sqrt{6}\)
Correct answer is C
\(T_{n} = ar^{n - 1}\) (Geometric progression)
\(a = \sqrt{6}, r = \frac{T_{2}}{T_{1}} = \frac{3\sqrt{2}}{\sqrt{6}} \)
\(r = \frac{\sqrt{18}}{\sqrt{6}} = \sqrt{3}\)
\(\therefore T_{8} = (\sqrt{6})(\sqrt{3})^{8 - 1} \)
= \((\sqrt{6})(27\sqrt{3}) = 27\sqrt{18} = 81\sqrt{2}\)
Express the force F = (8 N, 150°) in the form (a i + b j) where a and b are constants ...
Given that \(x^{2} + 4x + k = (x + r)^{2} + 1\), find the value of k and r...
Evaluate \(\int_{1}^{2} \frac{4}{x^{3}} \mathrm {d} x\)...
Find the number of different arrangements of the word IKOTITINA. ...
Find the equation of the line passing through (0, -1) and parallel to the y- axis. ...
\(Differentiate f (x) = \frac{1}{(1 - x^2)^5}\) with respect to \(x\)....
Find the angle between forces of magnitude 7N and 4N if their resultant has a magnitude of 9N. ...
Given that \(y = x(x + 1)^{2}\), calculate the maximum value of y....