Question
Which term of the sequence $4,4 \sqrt{3}, 12,12 \sqrt{3}, \ldots \ldots \ldots \ldots .$ is $36 \times 3^{4}$ ?(a) 13(b) 12(c) 11(d) 14
Step 1
The sequence alternates between multiplying by $\sqrt{3}$ and not multiplying by $\sqrt{3}$, so we can write this as $4 \times 3^{(n-1)/2}$ for terms that are not multiplied by $\sqrt{3}$ and $4 \times 3^{(n-1)/2} \times \sqrt{3}$ for terms that are multiplied by Show more…
Show all steps
Your feedback will help us improve your experience
Narayan Hari and 77 other Calculus 2 / BC educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Which term of the following sequences: (a) $\quad 2,2 \sqrt{2}, 4, \ldots$ is $128 ?$ (b) $\sqrt{3}, 3,3 \sqrt{3}, \ldots$ is $729 ?$ (c) $\frac{1}{3}, \frac{1}{9}, \frac{1}{27}, \ldots$ is $\frac{1}{19683}$ ?
Sequences and Series
Series
Which of the following is the simplest form of the radical expression $\frac{4}{\sqrt{3}} ?$ $$A.\quad \frac{4 \sqrt{3}}{9}\quad B.\quad \frac{4 \sqrt{3}}{3} \quad c.\quad \frac{4}{\sqrt{3}}\quad D.\quad \frac{\sqrt{12}}{3}$$
Radicals and More Connections to Geometry
Operations with Radical Expressions
Which term of the geometric progression $4,4 \sqrt{2}, 8 \ldots$ is $64 \sqrt{2}$ ? (A) 8 (B) 9 (C) 10 (D) 12
Quantitative Aptitude
Progressions
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD