Recursive Formulas — Unit test Answers

When is a sequence geometric?

A scientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. Each replicated organism also replicates at the same rate. At hour one, there is one organism. At hour two, there are five more organisms. How many total organisms are there at hour seven?

The second term of an arithmetic sequence is –39. The rule can be used to find the next term of the sequence. What is the explicit rule for the arithmetic sequence?

What is the sum of the first six terms of the geometric series? 2 – 6 + 18 – 54 + ...

The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?