Answer:
Arithmetic Sequence
f(1) = 30
f(n) = f(n-1) + 12
Step-by-step explanation:
The given sequence f(n) = f(n-1) + 12 is an Arithmetic sequence.
An arithmetic sequence is defined as an arrangement of numbers which is a particular order.
The formula to determine the general term of an arithmetic sequence is,
aₙ = a₁ + (n-1)d
In arithmetic, sequence d represents the common difference.
Where aₙ is the nth term of the sequence and a₁ is the first term
Daniela received $30 as a birthday present
Daniela save the money to buy a new video game console
From the following week onward, she added $12 to her savings each week.
Let f(n) be Daniela's savings n weeks after her birthday.
Here, f is a sequence.
Substitute the value of n = 1 for $30 as a birthday present
f(1) = 30
She added $12 to her savings after one week.
So, f(2) = f(1) + 12
f(3) = f(2) + 12
f(n) = f(n-1) + 12
So, the common difference (d) = a₅ - a₄= a₄ - a₃= a₃ - a₂ = 12
Therefore, the given sequence is an Arithmetic sequence.
Learn more about arithmetic sequence here:
brainly.com/question/21961097
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