Answer These 4 Questions

Question

1. a. Write an explicit rule and recursive rule for the sequence of numbers 3, 8, 13, 18, 23,…
2. b. Find the 1,000th term of the sequence.
3. c. Which rule did you use to find the 1,000th term? Why did you choose that rule?
4. d. What is a disadvantage of a recursive rule when compared to an explicit rule?

Answer 1

This appears to be an arithmetic sequence a_n = 3 +(n-1)5.

Plug in n=1000 to get the 1000th term.

I will leave the explanation questions for you to answer.