Solve the problem relating to the Fibonacci sequence.
-According to the Binet form, the nth Fibonacci number is given by $\frac { \left( \frac { 1 + \sqrt { 5 } } { 2 } \right) ^ { n } - \left( \frac { 1 - \sqrt { 5 } } { 2 } \right) ^ { n } } { \sqrt { 5 } }$ Use this Binet form to find the 28th Fibonacci number.
A)317,812
B)317,810
C)317,811
D)317,813

Question

Quizplus · Accepted Answer

The 28th Fibonacci number can be calculated using the Binet formula. Plugging $n = 28$ into the formula yields approximately 317,811, making option C correct.

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Solve the Problem Relating to the Fibonacci Sequence $\frac { \left( \frac { 1 + \sqrt { 5 } } { 2 } \right) ^ { n } - \left( \frac { 1 - \sqrt { 5 } } { 2 } \right) ^ { n } } { \sqrt { 5 } }$