Question

Write the first five terms for the following recursive rule.

f(1)=7
f(n)=f(n-1)+12

Answer 1

Answer:

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Step-by-step explanation:

a1 = first term; an= an-1 + d a1 = the first term in the sequence an = the nth term in the sequence an-1 = the term before the nth term n = the term number d = the common difference.

{10, 15, 20, 25, 30, 35, } first term = 10, common difference = 5 recursive formula: a1= 10; an= an-1 + 5

Answer 2

f(n) = f(n-1) + 12

f(1) = 7

f(2) = (7-1) + 12 = 18

f(3) = (18-1) + 12 = 29

f(4) = (29-1) + 12 = 40

f(5) = (40-1) + 12 = 51

7, 18, 29, 40, 51