Consider the sequence 5, 10, 20,40, 80, 160... Compute the difference between su
ID: 2829575 • Letter: C
Question
Consider the sequence 5, 10, 20,40, 80, 160... Compute the difference between successive terms and enter your answer as a list. (For example, if the sequence were 2, 5,9, you would enter the comma separated list 3,4 since 5-2=3 and 9-5=4). The sequence of successive differences is which suggests that the original sequence (is/is not) growing linearly. Consider the sequence 5, 10, 20,40, 80, 160... Compute the ratio between successive terms and enter your answer as a list. (For example, if the sequence were 2, 5,9, you would enter the comma separated list 5/2, 9/5). The sequence of successive ratios is which suggests that the original sequence (is/is not) growing exponentially. Find a closed formula for the sequence 5, 10, 20,40, 80, 160... Use n as your index and start with n = 0, that is, b0 = 5. bn = Find a closed formula for the sequence 5. -10, 20, -40. 80, -160... Use n as your index and start with n = 0, that is, C0 = 5. cn =Explanation / Answer
bn = 5*(2^n)
cn = 5* ((-2)^n)