Question

Zina spends 1.5 hours setting up her sewing machine and making one hat. The total amount of time spent making hats can be represented by the sequence below.

1.5, 2.25, 3.0, 3.75, ...
Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously?

f(n + 1) = f(n) + 1.5
f(n + 1) = f(n) + 0.75
f(n + 1) = f(n)
f(n + 1) = f(n)

Answer 1

Thank you for asking this question. Here is your answer:

We are supposed to find the common difference in this question.

And for that we will subtract the second term and the first term.

And for that we will use the following formula:

f(1) = first term of the sequence

f(n+1) = f(n) + common difference

In order to find the answer we will solve it.

If there is any confusion, please leave a comment below.