Answer:
The sequence 30, 40, 50, 60, 70, 80... can be defined recursively using function notation.
Let's define the sequence as a function called f(n), where n represents the position of the term in the sequence.
To define the function recursively, we can establish two rules:
1. Base case: f(1) = 30
The first term in the sequence is given as 30.
2. Recursive case: f(n) = f(n-1) + 10
Each term in the sequence is obtained by adding 10 to the previous term.
By applying these rules, we can find any term in the sequence.
For example:
f(2) = f(1) + 10 = 30 + 10 = 40
f(3) = f(2) + 10 = 40 + 10 = 50
f(4) = f(3) + 10 = 50 + 10 = 60
and so on.
Using this recursive definition, we can find any term in the sequence by substituting the value of n into the function f(n).
Explanation:
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