smgohio0667
smgohio0667 smgohio0667
  • 19-03-2021
  • Mathematics
contestada

Write the function that represents the sequence in the table

Write the function that represents the sequence in the table class=

Respuesta :

cyclix5
cyclix5 cyclix5
  • 21-03-2021

Answer:

A(n) = 5 * 4^n-1

Step-by-step explanation:

How do we get the initial value? The value of A(n) when n = 1. But before that, we should find our rate of change. What is our rate of change? Well, its just 4 right!?

5, 20, 80, 320...

Notice that we just multiply 4 to a number to get the next number in the series.

So therefore, we can express the function in the following manner

A(n) = initial value * rate of change ^ n-1

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