Question

A bank manager writes the exponential function V (n) = 3.38(1.0194)" to represent the value, in thousands of dollars, of an account after n years. The domain of this function is the set of whole numbers Which recursive formula also represents the value of the account?

Answer 1

Step-by-step explanation:

V (n) = 3.38. V (n-1);V (1) = 1.0194

V (n) = 3.38. V (n - 1);V (0) = 1.0194

V (n) = 1.0194. V (n-1);V (1) = 3.38

V (n) = 1.0194 .V (n-1); V (0) = 3.38

Answer 2

Answer:

The recursive formula is V(n) = 1.0194V(n-1).

Step-by-step explanation:

Given,

V(n) = 3.38(1.0194)^n

$V(0) = 3.38(1.0194)^{0} = 3.38\\\\V(1) = 3.38(1.0194)^{1} = 3.38\times 1.0194 = 1.0194\times V(0)\\\\V(2) = 3.38(1.0194)^{2} = 3.38\times 1.0194^2 = 1.0194\times V(1)\\\\V(3) = 3.38(1.0194)^{3} = 3.38\times 1.0194^3 = 1.0194\times V(2)\\\\V(4) = 3.38(1.0194)^{4} = 3.38\times 1.0194^4 = 1.0194\times V(3)\\\\..\\..\\V(n) = 3.38(1.0194)^{n} = 3.38\times 1.0194^n = 1.0194\times V(n-1)$

A recursive function is a function that calculates the following terms by repeating or using its own prior words, creating a succession of terms. In most cases, we learn about this function via the arithmetic-geometric sequence, which has terms with a shared difference.

Recursion is the process of repeating a recursive operation. Recursive functions or expressions are special functions or expressions that express a concept or property of one or more variables. They are specified by a procedure that repeatedly applies a given relation or routine operation to known values of the function to produce their values or instances.

Therefore, the recursive function is V(n) = 1.0194V(n-1).

To learn more about recursive functions, click on the link below:

https://brainly.in/question/634885

To learn more about the arithmetic series, click on the link below:

https://brainly.com/question/6561461

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