Answer:
is 54, 45, 36, 27, 18
Step-by-step explanation:
Recursive formulas give us two pieces of information:
1. The first term of the sequence
2. The pattern rule to get any term from the term that comes before it
In the formula given,
n is any term number
f(n) is the nth term
This means
f(1) is the first term
f(f-1) is the term before the nth term
To find the first five numbers in this arithmetic sequence, we know the formula has given us these two pieces of information:
1. The first term is 54
2. The rule to get any term from its previous term is -9
So, we know the sequence for this formula is 54, 45, 36, 27, 18 because starting off with 54, then minus 9 from every sum gives us the following equations
54-9=45
45-9=36
36-9=27
27-9=18
