Tim and Tom are trying to earn money to buy a new game system over a 3-month period. Tim saved $45.24 each month. If they need a total of $213.36 to buy the game system, how much does Tom need to earn each of the 3 months in order to buy the game system?

the answer is c

step-by-step explanation:

, 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

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.