Question

The real roots of the equation $2 x^3-19 x^2+57 x+k=0$ are the first three terms of a geometric progression.
If the geometric progression is increasing then the sum of its first $n$ terms equals

• A. $\left(\frac{3}{2}\right)^{ n }-1$
• B. $6\left(\left(\frac{3}{2}\right)^n-1\right)$
• C. $4\left(2^n-1\right)$
• D. $4\left(\left(\frac{3}{2}\right)^{ n }-1\right)$

Answer 1

Answer: (D)

Correct answer is (d) $4\left(\left(\frac{3}{2}\right)^{ n }-1\right)$