The first, second and third terms of an exponential seque...
The first, second and third terms of an exponential sequence (G.P) are (x - 4), (x + 2), and (3x + 1) respectively. Find the values of x.
\(\frac{-1}{2}, 8\)
\(\frac{1}{2}, -8\)
\(\frac{-1}{2}, -8\)
\(\frac{1}{2}, 8\)
Correct answer is A
U1 = x - 4
U2 = x + 2
U3 = 3x + 1
\(\frac{u_2}{u_1} = \frac{u_3}{u_2}\)
\(\frac{x+2}{x-4} = \frac{3x+1}{x+2}\)
(x+2)(x+2) = (x-4)(3x+1)
x\(^2\) + 4x + 4 = 3x2 - 11x - 4
collecting like terms
2x\(^2\) - 15x - 8 =0
2x\(^2\) + x - 16x - 8 = 0
x(2x + 1) - 8(2x + 1) = 0
(x-8)(2x+1) = 0
x = (\(\frac{-1}{2}, 8\))
The 3rd and 7th term of a Geometric Progression (GP) are 81 and 16. Find the 5th term. ...
Solve \(\log_{2}(12x - 10) = 1 + \log_{2}(4x + 3)\)...
Given that \(\frac{2x}{(x + 6)(x + 3)} = \frac{P}{x + 6} + \frac{Q}{x + 3}\), find P and Q....
Simplify \((216)^{-\frac{2}{3}} \times (0.16)^{-\frac{3}{2}}\)...
In what interval is the function f : x -> 2x - x\(^2\) increasing? ...
Consider the statements: x: The school bus arrived late y: The student walked down to school Whic...
Which of the following sets is equivalent to \((P \cup Q) \cap (P \cup Q')\)?...
Evaluate \(\lim \limits_{x \to 1} \frac{1 - x}{x^{2} - 3x + 2}\)...