Question

list the next three terms in the following sequence:
1, 1, 2, 3, 5, 8, ...
a. 11, 20, 31
b. 11, 19, 30
c. 13, 21, 34
d. 13, 20, 33

please select the best answer from the choices provided

a
b
c
d

Explanation:

Step1: Identify the sequence pattern

The given sequence is \(1, 1, 2, 3, 5, 8, \dots\). Observe that each term (starting from the third term) is the sum of the two preceding terms. For example, \(1 + 1 = 2\), \(1 + 2 = 3\), \(2 + 3 = 5\), \(3 + 5 = 8\).

Step2: Calculate the next term

To find the next term after 8, we add the two previous terms: \(5 + 8 = 13\).

Step3: Calculate the term after 13

Next, add 8 and 13: \(8 + 13 = 21\).

Step4: Calculate the term after 21

Then, add 13 and 21: \(13 + 21 = 34\).

So the next three terms are 13, 21, 34, which corresponds to option c.

Answer:

C. 13, 21, 34