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
Question
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
Solution
The sequence given is −1,−2,−4,−8,… This is a geometric sequence, where each term is multiplied by a constant to get the next term.
Step 1: Identify the type of sequence The type of sequence is Geometric. In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
Step 2: Write the recursive rule In this sequence, each term is multiplied by 2 to get the next term. So, the recursive rule is an = 2*an-1.
Step 3: Identify the first term (a1) The first term (a1) of the sequence is -1.
Step 4: Write the complete recursive rule So, the complete recursive rule for the sequence is: a1 = -1, an = 2*an-1 for n > 1.
Similar Questions
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 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: Write the recursive rule. Sequence: −11,−3,5,13,…−11,−3,5,13,…an=an−1𝑎𝑛=𝑎𝑛−1 Answer 1 Question 12 Answer 2 Question 12a1=𝑎1= Answer 3 Question 12
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: 2,202,402,602,…2,202,402,602,…Common Difference: Answer 1 Question 10an=−198+200n𝑎𝑛=−198+200𝑛Answer 2 Question 10an=an−1+200𝑎𝑛=𝑎𝑛−1+200a1=2𝑎1=2Answer 3 Question 10a15=𝑎15= Answer 4 Question 10
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
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.