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What number comes next in the sequence?1, 1, 2, 3, 5, 8, 13, 21, 34, ?4045505560

Sagot :

Solution:

Given the sequence;

[tex]1,1,2,3,5,8,13,21,34,...[/tex]

The sequence above is called Fibonacci sequence, where the next term is the sum of the last two terms. Thus;

The next term is;

[tex]21+34=55[/tex]

CORRECT OPTION: 55

Geometric sequence has a common ratio where the next term is the known by multiplying the last term with the common ratio and Fibonacci is just the sum of last two terms to get the next one.

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