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30, 40, 50, 60, 70, 80... Define the sequence recursively using function notation

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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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