Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Given the two Fibonacci numbers below, which number would follow?

[tex]\[ F(22) = 17,711 \text{ and } F(23) = 28,657 \][/tex]

A. 10,946

B. 0.618

C. 46,368

D. 1.618

Sagot :

GinnyAnswer
To determine the number that follows the given Fibonacci numbers [tex]\( F(22) = 17,711 \)[/tex] and [tex]\( F(23) = 28,657 \)[/tex], we must recall the property of the Fibonacci sequence. In a Fibonacci sequence, each number is the sum of the two preceding ones.

Given:
[tex]\[ F(22) = 17,711 \][/tex]
[tex]\[ F(23) = 28,657 \][/tex]

To find [tex]\( F(24) \)[/tex], we add [tex]\( F(22) \)[/tex] and [tex]\( F(23) \)[/tex]:

[tex]\[ F(24) = F(22) + F(23) \][/tex]
[tex]\[ F(24) = 17,711 + 28,657 \][/tex]

Perform the addition:

[tex]\[ 17,711 + 28,657 = 46,368 \][/tex]

Therefore, the number that follows [tex]\( F(22) = 17,711 \)[/tex] and [tex]\( F(23) = 28,657 \)[/tex] is:

[tex]\[ F(24) = 46,368 \][/tex]

So, the correct answer is:
C. 46,368
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.