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Mathematics 10 Online
OpenStudy (anonymous):

@TheSmartOne

OpenStudy (anonymous):

A sequence has its first term equal to 3, and each term of the sequence is obtained by adding 5 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? f(1) = 3 and f(n) = f(n - 1) + 5; n > 1 f(1) = 5 and f(n) = f(n - 1) + 3; n > 1 f(1) = 3 and f(n) = f(n - 1) + 5n; n > 1 f(1) = 5 and f(n) = f(n - 1) + 3n; n > 1

OpenStudy (anonymous):

d?

OpenStudy (anonymous):

@iambatman

OpenStudy (anonymous):

That's a bad guess

OpenStudy (anonymous):

What does this mean `A sequence has its first term equal to 3`

OpenStudy (anonymous):

We can eliminate two choices by knowing just that

OpenStudy (anonymous):

Are you there?

OpenStudy (anonymous):

the first term is f(1) So it's saying f(1) = 3, so we can eliminate any with f(1) = 5 right away, and now we know that f(n) represents the nth term of the sequence, and each term of the sequence is obtained by adding 5 to the previous term. So by knowing just `each term of the sequence is obtained by adding 5 to the previous term` we can eliminate another option, hint: why would you multiply 5 by n, does that even make sense? Plug some numbers and see what's going on.

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