Kyle starts saving for his first car by opening a savings account and depositing $100 . He plans to make a deposit every month to continue saving. The amount of money in Kyle's savings account can be modeled by the sequence 0=100, , =−1+75 , where is the number of months since his initial deposit. Is the sequence a function? Why or why not?

The sequence is a function

Step-by-step explanation:

Given

Sequence: ;

Required

Is the sequence a function

To determine if the sequence is a function or not, we start by calculating its range from the domain:

When n = 0;

When n = 1:

When n = 2;

When n = 3;

This implies that:

The domain (n) and the range (An) can be represented as:

The above shows that the sequence is a one to one relation and a one to one relation is always a function.

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