Twelve Days Before Valentine2019s Day, Carl Decided To Give Nicole Flowers According To The Fibonacci Sequence. On The First Day, He Sent One Red Rose

Twelve days before Valentine's Day, Carl decided to give Nicole flowers according to the Fibonacci sequence. On the first day, he sent one red rose, on the second day, two red roses, and so on. How many roses did Nicole receive during the tenth day?

a. 10
b. 55
c. 89
d. 144

 

Answer:

The answer is B) 55. Nicole received 55 roses during the tenth day.

Step-by-step explanation:

To answer the given question, here are the necessary details that you need to know.

  • What is the Fibonacci sequence? Fibonacci sequence is a series of number wherein each term is computed by adding the two numbers before it.
  • The Fibonacci sequence looks like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, and so on.
  • In the sequence, the third term, 1, was computed by adding the two numbers before it: 0 + 1. The fourth term, 2, was computed by adding the two numbers before it: 1+1. The fifth term, 3, was computed by adding the two numbers before it: 1+2, and so on...
  • Going back to the question, if Carl gave Nicole one flower on the first day, the Fibonacci sequence will look like this: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, wherein 55 is the tenth term.
  • Therefore, Nicole received 55 roses from Carl on the tenth day.
  • The answer is B) 55.

That is how to answer the given question.

To know more about the topic, you may refer to the following links:

10.3.1.1.


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