If the sequence 4, 7, 11, 18, 29, were to follow the same pattern as the Fibonacci sequence, what are the next three terms?A. 37, 66, 103B. 38, 68, 106C. 47, 76, 123D. 48, 78, 126

Respuesta :

Answer

Option C is correct.

The next three terms are 47, 76 and 123.

Explanation

The key to writing the next term in a Fibonacci sequence is that each term is the sum of the two preceding terms before it.

3rd term = (2nd term) + (1st term)

4th term = (3rd term) + (2nd term)

and so on

So, starting from 1, 1, 2, 3, 4, 7, 11, 18, 29

Next term = 29 + 18 = 47

Term after that = 47 + 29 = 76

Term after that = 76 + 47 = 123

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