bensears241200
bensears241200 bensears241200
  • 03-07-2020
  • Mathematics
contestada

The next term in a sequence Comes from adding the
previous two terms. Find the missing terms below.
2,
,9
, 25,
66

Respuesta :

altavistard
altavistard altavistard
  • 03-07-2020

Answer:

Step-by-step explanation:

Each new term is the sum of the two preceding terms.  Given 2, 9, etc., we see that a number between 2 and 9 is missing; call it x.  Then 2 + x must equal 9, and so x = 7, and so the first three terms are 2, 7, 9.  Repeating the process, we add 7 and 9, obtaining 16; thus the first four terms are 2, 7, 9, 16.  Continuing this pattern, we add 9 and 16 to obtain the fifth term, which is 25:  2, 7, 9, 16, 25.  And so on.

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