0, 8
-1, \(\frac{5}{3}\)
2, 3
1, -1
Correct answer is B
\(\frac{2k - 1}{k + 1} = \frac{3k + 1}{2k - 1}\)
\((k + 1)(3k + 1) = (2k - 1)(2k - 1)\)
\(3k^{2} + 4k + 1 = 4k^{2} - 4k + 1\)
\(4k^{2} - 3k^{2} - 4k - 4k + 1 - 1 = 0\)
\(k^{2} - 8k = 0\)
\(k(k - 8) = 0\)
\(\therefore \text{k = 0 or 8}\)
The terms of the sequence given k = 0: (1, -1, 1)
\(\implies \text{The common ratio r = -1}\)
The terms of the sequence given k = 8: (9, 15, 25)
\(\implies \text{The common ratio r = } \frac{5}{3}\)
The possible values of the common ratio are -1 and \(\frac{5}{3}\).
If 20(mod 9) is equivalent to y(mod 6), find y. ...
Find the derivative of \(\frac {\sin\theta}{\cos\theta}\)...
If 2\(^{a}\) = \(\sqrt{64}\) and \(\frac{b}{a}\) = 3, evaluate a\(^2 + b^{2}\) ...
What is the probability that the total sum of seven would appear in toss of a fair die? ...
In the diagram, STUV is a straight line. < TSY = < UXY = 40o and < VUW = 110o. Calculate < TYW...
In the figure, If PT is parallel to RS, PQ = PT, and angle SQT = 90o, Find x...
In\( ∆ PQR, P\hat{Q}P = 84^°, |Q\hat{P}R |= 43^°\) and |PQ| = 5cm. Find /QR/ in cm, correct to 1...