A formula is recursive if it expresses the term
in terms of the previous one(s) ![a_{n-1},\ a_{n-2},\ \ldots,\ a_1](https://tex.z-dn.net/?f=%20a_%7Bn-1%7D%2C%5C%20a_%7Bn-2%7D%2C%5C%20%5Cldots%2C%5C%20a_1%20)
In this case, every term is 7 more than the previous one, so the formula for
will only involve
:
![a_n = a_{n-1} + 7](https://tex.z-dn.net/?f=%20a_n%20%3D%20a_%7Bn-1%7D%20%2B%207%20)
In fact, this formula is simply saying: for every index
, the term with that index is 7 more than the term before.
Also, we have to specify the starting point (otherwise we would go backwards indefinitely), so the complete recursive formula is
![a_n = a_{n-1} + 7,\quad a_1 = 2](https://tex.z-dn.net/?f=%20a_n%20%3D%20a_%7Bn-1%7D%20%2B%207%2C%5Cquad%20a_1%20%3D%202%20)
which means: start with 2 and generate every other term by adding 7 to the previous one.
Answer:
5 months
Step-by-step explanation:
Equation A: 15+30x
Equation B: 35x
In 5 months Gym a will cost 15+30(5) or $175 and Gym B will also cost $175.
Basically all you have to do is apply reasonable numbers until you find out where the costs will meet up.
Alright...so the coordinates of an ordered pair have opposite signs [one sign is positive while the other is negative] so we could have an example of (-x,+y) or (+x,-y) ...that means out of the 4 quadrants these points could be in the 2nd quadrant or the 4th quadrant or corners of the graph
Answer:
(-2, 6)
Step-by-step explanation:
We can simply do this by plugging in all of the coordinates. (I did this in my head quickly, so I know what it is; I'm just going to plug in the correct answer.) The correct answer is (-2, 6), so we're just going to plug them into the simplest equation, which is probably y=-3x. So...
6=-3(-2)
6=6
This answer is correct. If you're unsure about the answer, you can always check in the other equation. So...
3(-2)+2(6)=6
-6+12=6
6=6
Hope this helps and have an amazing day ^^
B is the correct answer I think