Find the first 5 terms of the recursive sequence: $a_n = \frac{a_{n-1}}{2}$ and $a_1 = -2$ $a_1 = $ $a_2 = $ $a_3 = $ $a_4 = $ $a_5 = $
Added by Francisco Javier W.
Close
Step 1
Step 2: Find $a_1$. The problem explicitly gives $a_1 = -2$. Step 3: Find $a_2$. Using the recursive formula $a_n = \frac{a_{n-1}}{2}$, we can find $a_2$ by setting $n=2$: $a_2 = \frac{a_{2-1}}{2} = \frac{a_1}{2}$ Substitute the value of $a_1$: $a_2 = Show more…
Show all steps
Your feedback will help us improve your experience
Kerry Thornton-Genova and 78 other Algebra 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
Find the first five terms of the given recursively defined sequence. $a_{n}=\frac{a_{n-1}}{2} \quad$ and $\quad a_{1}=-8$
Sequences and Series
Sequences and Summation Notation
Find the first five terms of the recursively defined sequence. $$a_{1}=-16 \text { and } a_{n}=\frac{a_{n-1}}{2} \quad \text { for } n \geq 2$$
Discrete Algebra
Sequences and Sums
$13-18$ Find the first five terms of the given recursively defined sequence. $$ a_{n}=\frac{a_{n-1}}{2} \quad \text { and } \quad a_{1}=-8 $$
Sequence and Series
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD