The following function defines a recursive sequence. f(0) = -5 f(1) = 20 f(n) = -4•f(n -1) - 3•f(n - 2); for n > 1 Which of the following sequences is defined by this recursive function? -5, -20, -65, -200, … -5, 20, -92, 372, … -5, -24, -92, -372, … -5, 20, -65, 200, …

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The following function defines a recursive sequence. f(0) = -5 f(1) = 20 f(n) = -4•f(n -1) - 3•f(n - 2); for n > 1 Which of the following sequences is defined by this recursive function? -5, -20, -65, -200, … -5, 20, -92, 372, … -5, -24, -92, -372, … -5, 20, -65, 200, …

Mathematics
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what is the first term?
f(0) = -5 ?
yes, so they give you the first one what is the second term?

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we can narrow the options by eliminating the ones that have the wrong first and second terms, then the third term gets us to only one option that fits
we can use the rule given to determine f(2) f(n) = -4•f(n -1) - 3•f(n - 2) f(2) = -4•f(2 -1) - 3•f(2 - 2) f(2) = -4•f(1) - 3•f(0) ^^ ^^ we already know these values to plug into the rule
ok so what now ?
that IS the "what now" you work it out
or you ask questions about what it is you dont understand
oh ok hold on
i dont get what im suppose to work out ....
f(n) = -4•f(n -1) - 3•f(n - 2) f(2) = -4•f(2 -1) - 3•f(2 - 2) f(2) = -4•f(1) - 3•f(0) ^^ ^^ we already know these values to plug into the rule
f(0) = -5 f(1) = 20
wherever you see f(0), replace it by -5 wherever you see f(1), replace it by 20
what if i see f(2)
f(2) is what we are calculating ... f(2) will equal ______________
f(2) = -4•f(1) - 3•f(0) =-65 correct?
very good :)
so what we are looking for is a sequence that starts out: f(0), f(1), f(2) -5, 20, -65 only one of the options starts out like this
the last one ..
correct
thank you very much for explaining
good luck :)

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