Recursive Formulas Answers

An arithmetic sequence has the explicit formula an = 7n – 17. What is the value of a1?

Which is the recursive formula for this arithmetic sequence?

Find the first three terms of the sequence described by the following recursive formula:an = 3an – 1 + 2 where a4 = 20a1 = a2 = a3 =

a2 =

a3 =

, , , 2 1 4

−3 , ⇒ -12 , , ,

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Suppose that an insect population’s density, in thousands per acre, during year n, can be modeled by the recursive formula:a1 = 8 an = 2.9an – 1 – 0.2(an – 1)2Which of the following describes what is happening to the insect population for the first five years?

In an arithmetic sequence, a17 = -40 anda28 = -73. Explain how to use this information to write a recursive formula for this sequence.

Which did you include in your explanation?

Which is the recursive formula for the sequence whose explicit formula is an = (n + 1)2?

If a sequence contains only whole numbers, which of these sequences could include the term 27, if a1 does not equal 27?

toothpicks.