Note that the kth term of the sequence is defined by ak + 1 = 14 ak2. Let a1, a2, a3, a4, and a5 be the first five terms of the sequence. Also note that a1 = 8. Substitute k = 1 and a1 = 8 in ak + 1 = 14 ak2. Therefore, a2 = 14 a2 = 14 ( )2 = .
Added by Abigail D.
Step 1
Let's think step by step. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 54 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
Write the first five terms of the recursively defined sequence: a1 = 8, ak+1 = ak^2. Note that the kth term of the sequence is defined by ak + 1. Let a, 2a, 4a, 8a, and 16a be the first five terms of the sequence. Also note that a = 8. Substitute k = 1 and a = 8 in ak+1 = ak^2. Therefore,
Adi S.
What is the fourth term of the sequence? a1 = k, an = 2an-1 2k 4k 6k 8k
Lauren S.
Exer. $21-28:$ Find the first five terms of the recursively deTIned Infinite sequence. $$a_{1}=5, \quad a_{i+1}=k a_{i}$$
Sequences, Series, and Probability
Infinite Sequences and Summation Notation
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD