Recursive Formulas

Question 1

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

Revolt · Accepted Answer

mc001-4.jpg

Question 2

What is the height the ball rebounds to after its third bounce? Round your answer to three decimal places. feet

Revolt · Accepted Answer

6.141

Question 3

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

Revolt · Accepted Answer

an = 2an – 1 + 1; an = 3an – 1; an = an – 1 + 6

Question 4

toothpicks.

Revolt · Accepted Answer

Part 1: 4; Part 2: 10; Part 3: 16

Question 5

Write a recursive formula for the perimeter of the nth figure.

Revolt · Accepted Answer

an = an – 1 + 6 where a1 = 4

Question 6

Suppose you drop a ball from a height of 10 feet. After the ball hits the floor, it rebounds to a height defined by the recursive formula an = 0.85an – 1. What is a1? feet

Revolt · Accepted Answer

8.5

Recursive Formulas Answers

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