A couple buys a $200000 home, making a down payment of 17%. The couple finances the purchase with a 15 year mortgage at an annual rate of 3.84%. Find the monthly payment.

If the couple decides to increase the monthly payment to $1300, find the number of payments.

, 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

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step-by-step explanation:

n=1.75+1.75

step-by-step explanation:

3.5/2=1.75

5.762159

step-by-step explanation:

it would be 9 because when it is the nine is over five so that would mean it rounds up to 90 or 9