The fourth term of a geometric sequence is 2 and the sixt...
The fourth term of a geometric sequence is 2 and the sixth term is 8. Find the common ratio.
±1
±2
±3
±4
Correct answer is B
\(T_{n} = ar^{n - 1}\) (Exponential sequence)
\(T_{4} = ar^{3} = 2 .... (1)\)
\(T_{6} = ar^{5} = 8 ......(2)\)
Divide (2) by (1),
\(\frac{ar^{5}}{ar^{3}} = \frac{8}{2} \)
\(r^{2} = 4\)
\(r = \pm 2\)
If \(2, (k+1), 8,...\) form an exponential sequence (GP), find the values of k...
Given that \(f(x) = 2x^{3} - 3x^{2} - 11x + 6\) and \(f(3) = 0\), factorize f(x)...
If √5 cosx + √15sinx = 0, for 0° < x < 360°, find the values of x. ...
Find the fifth term in the binomial expansion of \((q + x)^7\)....
Given that \(\frac{8x+m}{x^2-3x-4} ≡ \frac{5}{x+1} + \frac{3}{x-4}\)...
Solve: \(\sin \theta = \tan \theta\)...
Find the coordinates of the centre of the circle \(4x^{2} + 4y^{2} - 5x + 3y - 2 = 0\)....