find the next three terms in the sequence 1, 1, 2, 3, 5, 8, A. 9, 10, 11 B. 11, 14, 17 C. 13, 21, 34 D. 14, 26, 50
Mathematics · Middle School · Thu Feb 04 2021
Answered on
The correct option is C. 13, 21, 34.
The sequence given is famously known as the Fibonacci sequence, where each term is the sum of the two preceding ones, starting from 0 and 1 (or 1 and 1, as in this case). The formula to find the next number is:
Next term = (N-1)th term + (N-2)th term
So, let's calculate the next three terms after 1, 1, 2, 3, 5, 8:
- To find the term after 8, you add the two terms before it: 5 + 8 = 13 - To find the next term, add the two terms before it: 8 + 13 = 21 - To find the third term after 8, add the two terms before it: 13 + 21 = 34
So the next three terms are 13, 21, and 34.