jsauceda3 jsauceda3

27-02-2020
Mathematics

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Given the sequence an defined recursively below, find a4.
a1a2an=1=4=2an−1+an−2

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sqdancefan sqdancefan

27-02-2020

Answer:

[tex]a_4=22[/tex]

Step-by-step explanation:

Maybe you have ...

[tex]a_1=1\\a_2=4\\a_n=2a_{n-1}+a_{n-2}[/tex]

Then ...

[tex]a_3=2\cdot 4+1=9\\\\a_4=2\cdot 9+4=22[/tex]

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