find the next four terms of the sequence 5, 4, 9, 13, 22

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05-07-2021
Mathematics

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find the next four terms of the sequence 5, 4, 9, 13, 22

Sagot :

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caylus caylus · Answer 1 · 2021-07-05T11:14:13-04:00

caylus caylus

05-07-2021

Hello,

It is the Fibonacci 's suit.

[tex]u_1=5\\u_2=4\\u_3=u_1+u_2=5+4=9\\u_4=u_2+u_3=4+9=13\\u_5=u_3+u_4=9+13=22\\u_6=13+22=35\\u_7=22+35=57\\u_8=35+57=92\\u_9=57+92=149\\\\\\\boxed{u_{n+2}=u_{n}+u_{n+1}}\\[/tex]

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