Adam bought a $1,670 custom video game/sound system on a special no-interest plan. He made a $100 down payment and agreed to pay the entire purchase off in 112
112

years. The minimum monthly payment is $10.

If he makes only the minimum monthly payment up until the last payment, what will be the amount of his last payment?

If he wants to avoid a large final payment, what should he pay every month to pay off the debt in time? (round UP to the nearest hundredths)​

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Step-by-step explanation:

d

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