uiz: Section 10.E-10.4 Quiz This Question: 1 pt 10 of 10 (6 complete) To find th

Question

uiz: Section 10.E-10.4 Quiz This Question: 1 pt 10 of 10 (6 complete) To find the nth Fibonaci number without using the For example, to find the thiteenth recursion formula, evaluatewhere Fibonacci number, evaluate 1+/513(1-5 ) 13 45 1+45 ?= and ? = using a calculator. This form is known as the Binet form of the nth Fibonacci number. Use the Binet form and a calculator to find the nth Fibonacci number for the following value of n. 2 Use the Binet form and a calculator to find the Fibonacci number when n 23. The twenty-third Fibonacci number is (Round the final answer to the nearest natural number.) Enter your answer in the answer box

Explanation / Answer

Note: If you find ? in the answer below, it means square root symbol.

The 23rd fibonacci number using Binet form

= ( [(1 + ?5) / 2]23 - [(1 - ?5) / 2]23 ) / ?5

Using calculator

= 28657.

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