Instructions: Identify the type of sequence and write the explicit rule. Sequence: 4,16,64,256,…4,16,64,256,…Type: Answer 1 Question 4Explicit Rule: Answer 2 Question 4
Question
Instructions: Identify the type of sequence and write the explicit rule. Sequence: 4,16,64,256,…4,16,64,256,…Type: Answer 1 Question 4Explicit Rule: Answer 2 Question 4
Solution
The given sequence is 4, 16, 64, 256,...
Step 1: Identify the type of sequence This sequence is a geometric sequence. This is because each term is multiplied by the same factor to get the next term.
Step 2: Write the explicit rule In a geometric sequence, the explicit rule is given by a*r^(n-1), where a is the first term, r is the common ratio, and n is the term number.
For this sequence, a = 4 (the first term), and r = 4 (each term is multiplied by 4 to get the next term).
So, the explicit rule for this sequence is 4*4^(n-1).
Similar Questions
Instructions: Identify the type of sequence and write the explicit rule. Sequence: 3,−6,12,−24,…3,−6,12,−24,…Type: Answer 1 Question 6Explicit Rule: an=𝑎𝑛= Answer 2 Question 6 (( Answer 3 Question 6 )n−1
Instructions: Identify the type of sequence and write the recursive rule. Sequence: 3,18,108,648,…3,18,108,648,…Type: Answer 1 Question 3an=an−1𝑎𝑛=𝑎𝑛−1 Answer 2 Question 3 Answer 3 Question 3a1=𝑎1= Answer 4 Question 3
Instructions: Identify the type of sequence and write the recursive rule. Sequence: −1,−2,−4,−8,…−1,−2,−4,−8,…Type: Answer 1 Question 8an=an−1𝑎𝑛=𝑎𝑛−1 Answer 2 Question 8 Answer 3 Question 8a1=𝑎1= Answer 4 Question 8
Instructions: For the following sequence, state the common difference, identify which is the explicit form and which is the recursive form of the rule, and find the term listed.Sequence: 32,24,16,8,…32,24,16,8,…Common Difference: Answer 1 Question 17an=40−8n𝑎𝑛=40−8𝑛Answer 2 Question 17an=an−1−8𝑎𝑛=𝑎𝑛−1−8a1=32𝑎1=32Answer 3 Question 17a25=𝑎25= Answer 4 Question 17
Instructions: Write the explicit rule. Sequence: 26,18,10,2,…26,18,10,2,…Explicit Rule: an=𝑎𝑛= Answer 1 Question 13
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.