Question 18
Montasser makes a sequence of numbers. The first two numbers are $6$ and $15$. He always makes the next number in the sequence by dividing the last number by its predecessor and multiplying the result by $2$. Thus, the third number in the sequence is $\frac{15}{6} \cdot 2 = 5$ and the fourth number is $\frac{5}{15} \cdot 2 = \frac{2}{3}$.
What is the one hundredth number in the sequence?
A) $15$
B) $5$
C) $\frac{2}{3}$
D) $\frac{4}{15}$
E) $\frac{4}{5}$
What is the one hundredth number in the sequence?
A) $15$
B) $5$
C) $\frac{2}{3}$
D) $\frac{4}{15}$
E) $\frac{4}{5}$