Question

The recurrence definition with initial condition of a function f(x)=5n+2,n=1,2,3… is

Answer 1

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Answer 2

What are f(1), f(2), f(3)?

Answer 3

I find this question to be problematic, because \(x\) is not in the function but \(n\) is.

Answer 4

If it is a constant function, then there would only be one output, and so no recurrence.

Answer 5

Good point. Maybe they meant to say f(n) = 5n+2

Answer 6

So what is the answer?
I think it's
d) f(n)=f(n-1)+5,f(1)=7

Answer 7

very good, start with 7 and add 5 to get the next term

keep adding 5 to get the next terms, etc