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Math / Excursions in Modern Mathematics: Pearson New International Edition 8 / Chapter 13 / Problem 39

Excursions in Modern Mathematics: Pearson New International Edition | 8th Edition | ISBN: 9781292022048 | Authors: Peter Tannenbaum

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The Fibonacci sequence of order 2 is the sequence of numbers 1, 2, 5, 12, 29, 70, . .

Chapter 13, Problem 39

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QUESTION:

The Fibonacci sequence of order 2 is the sequence of numbers 1, 2, 5, 12, 29, 70, . . . . Each term in this sequence (from the third term on) equals two times the term before it plus the term two places before it; in other words, AN = 2AN-1 + AN-2 1N 32. (a) Compute A7. (b) Use your calculator to compute to five decimal places the ratio A7>A6. (c) Use your calculator to compute to five decimal places the ratio A11>A10. (d) Guess the value (to five decimal places) of the ratio AN>AN-1 when N 7 11.

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QUESTION:

The Fibonacci sequence of order 2 is the sequence of numbers 1, 2, 5, 12, 29, 70, . . . . Each term in this sequence (from the third term on) equals two times the term before it plus the term two places before it; in other words, AN = 2AN-1 + AN-2 1N 32. (a) Compute A7. (b) Use your calculator to compute to five decimal places the ratio A7>A6. (c) Use your calculator to compute to five decimal places the ratio A11>A10. (d) Guess the value (to five decimal places) of the ratio AN>AN-1 when N 7 11.

ANSWER:

Step 1 of 5

(a) The Fibonacci sequence of order is the sequence of numbers Each term of the sequence obeys the following mathematical formula

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