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Claire has $300 in an account. She decides she is going to take out half of what’s left in there at the end of each month.
Write the explicit (function notation)
Write the explicit (nth term sequence notation)

Respuesta :

xero099

The explicit function is y = 300 · (1 / 2)ˣ and the explicit n-th term of the function is y = 300 · (1 / 2)ⁿ.

What is the expression that models Claire's deposit in time?

According to the statement shown in the question, we know that Claire is releasing money each month from a bank account at a geometric rate. Geometric sequences are sets of elements generated by exponential functions whose form are:

y = a · rˣ              (1)

Where:

  • a - Initial value in the account.
  • r - Decrease rate
  • x - Number of periods
  • y - Current money in the account.

If we know that a = 300 and r = 1 / 2, then the explicit function notation is:

y = 300 · (1 / 2)ˣ

And the n-th term is find by evaluating at x = n, then:

y = 300 · (1 / 2)ⁿ

To learn more on geometric sequences: https://brainly.com/question/11266123

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