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Mental Math: The next term of a sequence 5, 6, 7, 9, 12, 17 ... is _______.  

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thi-dallas | Student, Undergraduate | (Level 1) Valedictorian

Posted February 5, 2013 at 3:29 AM via web

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Mental Math:

The next term of a sequence 5, 6, 7, 9, 12, 17 ... is _______.

 

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jgeertz | College Teacher | (Level 1) Associate Educator

Posted February 5, 2013 at 4:31 AM (Answer #1)

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Sequences are a set of numbers in order. There are many different types of sequences. Sometimes a constant is added to find the next number in a sequence; sometimes each number is squared to determine the next number in a sequence, and so on.

The next term in the sequence above

5,6,7,9,12,17, ....

is a bit more complicated.

It is a type of Fibonacci sequence and follows the formula

a_n= 1/2( F_n + L_n +8)   

where F_n  is the nth Fibonacci number and L_n  is the nth Lucas number.

5,6,7,9,12,17,25,38,59,.......

Therefore the next term in the sequence would be 25.

 

  

 

 

 

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