Dawn has two bank accounts she has been using to save money for a car. The difference between account A and account B is $100. If she uses StartFraction 3 Over 8 EndFraction of account A and StartFraction 7 Over 8 EndFraction of account B, Dawn will have a down payment of $2000. Choose the statements that are true when solving for the amount Dawn has in each account. Check all that apply. One of the equations that represents this scenario is A – B = 100.
One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
To eliminate the A variable, multiply the first equation by 3 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by –8.

1) One of the equations that represents this scenario is A – B = 100.

2)One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.

4) To eliminate the B variable, multiply the first equation by 7 and the second by 8.

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