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Mr Ryan made an agreement with his son Smith who is in grade 12 as follows. Smith will get pocket money after he finishes all his homework every day. The amount of the picket money will be double the amount previous day. He will start first day with R1. He can use this saving for his matric dance.
Write the information as a sequence​

Sagot :

The exponential function that models how much Smith gets after each day is given by:

[tex]A[n] = R1(2)^n[/tex]

What is an exponential function?

It is modeled by:

[tex]y = ab^x[/tex]

In which:

  • a is the initial value.
  • b is the rate of change.

In this problem:

  • He will start first day with R1, hence a = R1.
  • The amount of the picket money will be double the amount previous day, hence b = 2.

Thus, the equation as a sequence is represented by:

[tex]A[n] = R1(2)^n[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

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