You want to quit your job and go back to school for a law degree 4 years from now, and you plan to save $6,400 per year, beginning immediately. you will make 4 deposits in an account that pays 5.7% interest. under these assumptions, how much will you have 4 years from today? $29,461.93 $22,980.31

The dollar amount at the end of 4 years will be ...

... (((6400×1.057 +6400)×1.057 +6400)×1.057 +6400)×1.057 = 29,461.93

4 years from today, you will have $29,461.93.

the answer will be

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for