Answered

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If f(1)=2 and f(n) = f(n-1)^2+4 then what is the value of f(3)?

Sagot :

semsee45

Answer:

f(3) = 68

Step-by-step explanation:

Given:

[tex]\sf f(1)=2[/tex]

[tex]\sf f(n) = f(n-1)^2+4[/tex]

[tex]\sf \implies f(2) = f(1)^2+4[/tex]

[tex]\sf \implies f(2) = 2^2+4=8[/tex]

[tex]\sf \implies f(3) = f(2)^2+4[/tex]

[tex]\sf \implies f(3) = 8^2+4=68[/tex]

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