Show that an exponential model fits the data. Then write a recursive rule that models the data

CoormaBak9

CoormaBak9

Answered question

2021-09-18

Show that an exponential model fits the data. Then write a recursive rule that models the data. n012345 f(n)261854162486 

Answer & Explanation

yagombyeR

yagombyeR

Skilled2021-09-19Added 92 answers

The values of n are increasing by 1 and the values of f(n) are increasing by a factor of 3 which means the datais exponential. The formula, will then be of the form f(n) = ab^n. The data point (0,2) means a=2.
Since the values of f(n) are increasing by a factor of 3, b = 3. The exponential formula is then f(n) = 2(3)^n. A recursive rule for an exponential data set is of the form f(0) = a and f(n) = b*f(n—1) so the recursive formula is f(0)=2 and f(n)=3*f(n-1)

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