Verified Answer :

mathstudent55

Answer:

f(n) = 72(0.5)^(n - 1)

Step-by-step explanation:

a_1 = 72 = 72 = 72 × 0.5^0

a_2 = 36 = 72 × 0.5^1

a_3 = 18 = 72 × 0.5 × 0.5 = 72 × 0.5²

a_4 = 9 = 72 × 0.5³

Notice that for each term, the exponent is 1 less than the term number.

a_n = 72(0.5)^(n - 1)

f(n) = 72(0.5)^(n - 1)

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