Answer
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[tex]f(100) = 498[/tex]
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Explain
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[tex]f(2) = 8[/tex]
[tex]f(3) = 13[/tex]
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Find b
[tex]3b - 2b = 13 - 8[/tex]
[tex]b = 5[/tex]
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Find f(1)
[tex]f(1) = f(2) - b[/tex]
[tex]f(1) = 8 - 5[/tex]
[tex]f(1) = 3[/tex]
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Find f(100)
[tex]f (x)= f(1) + (x - 1)b[/tex]
[tex]f(100) = 3 + (100 - 1)5[/tex]
[tex]f(100) = 3 + (99)5[/tex]
[tex]f(100) = 3 + 495[/tex]
[tex]f(100) = 498[/tex]
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