Question 1 of 10 Multiple Choice: Please select the best answer and c "submit." An arithmetic sequence has this recursive formula: $\begin{cases} a_1 = 7\\ a_n = a_{n-1} - 4 \end{cases}$ What is the explicit formula for this sequence? A. $a_n = 7 + (n - 4)(-1)$ B. $a_n = 7 + (n - 1)(-4)$ C. $a_n = -4 + (n - 1)7$ D. $a_n = (-1) + (n - 7)(-4)$
Added by Agust-N S.
Close
Step 1
We also know that $a_1 = 7$. Show more…
Show all steps
Your feedback will help us improve your experience
Randy Clemons and 95 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
For the sequence b defined by $b_{n}=n(-1)^{n}, n \geq 1$. Find a formula for the sequence $c$ defined by $$ c_{n}=\sum_{i=1}^{n} b_{i} $$
Functions, Sequences, and Relations
Sequences and Strings
What is a recursive formula for the sequence whose explicit formula is $a_{n}=(n+1)^{2} ?$ F. $a_{1}=1, a_{n}=\left(a_{n-1}+1\right)^{2}$ H. $a_{1}=n, a_{n}=a_{n-1}+n$ G. $a_{1}=4, a_{n}=\left(\sqrt{a_{n-1}}+1\right)^{2}$ J. $a_{1}=n^{2}, a_{n}=\left(a_{n}-1\right)^{2}+1$
Sequences And Series
Mathematical Patterns
What is the formula for the arithmetic sequence if the sum of the same sequence is given by Sn = 2n + 3n^2? A an = 5 + 6(n - 1) B an = 6 + 5(n - 1) C an = 4 + 5(n - 1) D an = 5 + 4(n - 1)
Anas V.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD