Question

Fiona planted tomato plants in her back yard earlier this year. So far, they have produced 55 tomatoes. From past experience, she expects the tomato plants to produce an additional 14 tomatoes each week for the rest of the summer. Which of the following recursive formulas can be used to determine the total number of tomatoes produced by her plants after any given number of weeks in the summer, assuming that her expectations are correct?

Answer 1

if we deffine the first week as w₁ = 55, the recursive relation that tells us the number of tomatoes on week n will be:

wₙ = 55 + (n - 1)*14

How to find the recursive formula?

We know that, at the moment, the tomato plants produced 55 tomatoes, so that is our first element.

We also know that the tomato plants give 14 tomatoes each week, so in week 2 the number of tomatoes is:

w₂ = 55 + 14

On week 3:

w₃ = 55 + 14 + 14

And so on, so if we deffine the first week as w₁ = 55, the recursive relation that tells us the number of tomatoes on week n will be:

wₙ = 55 + (n - 1)*14

If you want to learn more about recursive relations:

brainly.com/question/1275192

#SPJ1