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Evaluate the expression f left parenthesis n plus 2 right parenthesis minus f left parenthesis n right paren given that f left paren n right paren equals 1 over 2 n left paren n plus 2 right paren?
A very good try, but f(n) is still ambiguous. I assume you mean f(n) = 1/2*n*(n+2) and not 1/[2*n*(n+2)] Then f(n+2) - f(n) = 1/2*(n+2)*(n+2+2) - 1/2*n*(n+2) = 1/2*(n+2)*(n+4) - 1/2*n*(n+2) = 1/2*(n+2)*{(n + 4) - n} = 1/2*(n+2)*4 = 2*(n+2)
Multiply 4 by n?
F(n) = 4n
What is the formula for a proportion?
1.What is the formula for a proportionp = n / f2. p = (f / 100) * n3. p = f / n4. p = (f / n) * 100
What is an odd number of factors?
Perfect squares have an odd number of factors. If f is a factor of N, then so is N/f. (For example, 3 is a factor of 30, and so is 10). Thus, it seems factors come in pairs, and there should always be an even number of them. But if f = N/f, then these two factors are the same, resulting in an odd number of factors. For example, 3 is a factor of 9, and it's "mate" is also 3. So for the numbers with an odd number of factors, there is some f where f=N/f. Multiplying both sides by f, we have f^2 = N. So this happens when N is a perfect square.
What is a limit in a number?
There is no limit in a number. There is however a mathematical concept known as a limit but this applies to functions. For instance: The limit of f(n)=(1/n) as n goes to infinity is 0. The limit of f(n)=(n/n) as n goes to infinity is 1.
