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Identify where you see growth rate:
F(1)=2; f(n)=f(n-1)+4

1 Answer

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Final answer:

The growth rate in f(n)=f(n-1)+4 is the constant rate of change, which is 4 for each move from one term to the next. This linear growth can be graphically represented by a straight line with a slope of 4 showing constant increments.

Step-by-step explanation:

The growth rate in the function f(n)=f(n-1)+4 can be seen in the constant rate of change, which in this case is 4. This means that as you move from one term f(n-1) to the next, f(n), the function value increases by 4 each time. This is a linear growth, not an exponential growth because the rate of change remains constant, not proportional to the function's current value.

As an example, if we start with F(1) having a value of 2, then F(2) would be F(1) + 4 = 6, F(3) would be F(2) + 4 = 10, and so on. The growth rate here refers to the constant increment of 4 that's being added in each step to get the next term of the sequence. To display data graphically and see this pattern, one could plot the terms of f(n) on a graph, showing a straight line with a slope of 4.

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