Applications
4. Erin is traveling abroad this summer and would like to have a bit of spending cash while
she's overseas. She has 100 dollars already saved and she plans on saving 40 dollars a month.
(a) Fill out the table below for the amount of money she saves as a function of how many
months she has been saving.
m
m1 2 3 4
a(m) 140
(b) Give a recursive definition for the sequence a(m). Don't forget to give an initial value.

Part a)

Part b)

Step-by-step explanation:

Part a)

Erina already $100 saved.

This means

She plans on saving 40 dollars a month.

This means that the common difference is

Part b)

The recursive formula for an arithmetic sequence is given as

The common difference is d=40 and the first term is

We substitute d=40 into the formula to get:

b or 2, just plug these equations into your graphing calculator then check the graph to see the image. if it matches up then that's your answer!