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2. write the first 5 terms of the arithmetic sequence defined by rule: …

Question

  1. write the first 5 terms of the arithmetic sequence defined by rule: $f(n) = f(n - 1) - 4$, $f(1) = 33$

Explanation:

Step1: Identify first term

$f(1) = 33$

Step2: Calculate second term

Substitute $n=2$: $f(2)=f(1)-4=33-4=29$

Step3: Calculate third term

Substitute $n=3$: $f(3)=f(2)-4=29-4=25$

Step4: Calculate fourth term

Substitute $n=4$: $f(4)=f(3)-4=25-4=21$

Step5: Calculate fifth term

Substitute $n=5$: $f(5)=f(4)-4=21-4=17$

Answer:

33, 29, 25, 21, 17