Question

Need help with a question. I will give medal for help!

Answer 1

What is your question?

Answer 2

Bill is able to save $35/week after working part-time and paying his expenses. These two formulas show his weekly savings:
f(1) = 35, f(n) = f(1) + f(n-1) for n > 1
f(n) = 35n
Which one of these formulas show the sequence written recursively, and which shows it written explicitly? Justify your explanations.
Use the recursive formula to make a table of values for 1 ≤ n ≤ 5. Show your calculations. Explain what your table means.
Use any formula of your choice to find f(40). Explain why you chose that method and what your answer means. Show your calculations.
Given the sequence of numbers: 5, 6, 8, 11, 15, 20, 26, 33, 41,… Explain whether or not this sequence can be considered a function.

Answer 3

Ok what else

Answer 4

Oh ok

Answer 5

how far did you get with this?

Answer 6

That to much and i can't do that on my phone so sorry

Answer 7

Not very far but I managed to do the second question with my friend.

Answer 8

which question is that?

Answer 9

Use the recursive formula to make a table of values for 1 ≤ n ≤ 5. Show your calculations. Explain what your table means.

Answer 10

What are you wanting to find

Answer 11

so you're asking about

"Which one of these formulas show the sequence written recursively, and which shows it written explicitly? Justify your explanations."

right?

Answer 12

Yeah that's the one

Answer 13

On what step you need help on ill try to help cause i cant draw it out

Answer 14

I need help with the whole equation because it seems really confusing

Answer 15

well when something is recursive, it is a sequence that is generated term by term

each term is calculated based on the last term


The rule f(1) = 35, f(n) = f(1) + f(n-1) for n > 1 is recursive because

f(1) is the first term, which is 35
f(2) is calculated based on the first term


f(n) = f(1) + f(n-1)
f(2) = f(1) + f(2-1)
f(2) = f(1) + f(1)
f(2) = 35+35
f(2) = 70


f(3) is done the same way


f(n) = f(1) + f(n-1)
f(3) = f(1) + f(3-1)
f(3) = f(1) + f(2)
f(3) = 35+70
f(3) = 105


notice how f(3) is calculated from knowing f(2)

Answer 16

Hello

Answer 17

Oh okay that kinda makes sense

Answer 18

If you need help with the whole then your lazy you need to do a least the first part

Answer 19

No it just means that I don't understand it

Answer 20

@jim_thompson5910 could you help me with this question also?
Given the sequence of numbers: 5, 6, 8, 11, 15, 20, 26, 33, 41,… Explain whether or not this sequence can be considered a function.

Answer 21

hint:

the jump from 5 to 6 is +1
the jump from 6 to 8 is +2
the jump from 8 to 11 is +3
the jump from 11 to 15 is +4
the jump from 15 to 20 is +5
the jump from 20 to 26 is +6
the jump from 26 to 33 is +7
the jump from 33 to 41 is +8

Answer 22

So you could write that the equation is pretty much going up by one each time. Since you added 1 then you added two then three and so on and so on.

Answer 23

then notice how +1 to +2 is an increase of 1

+2 to +3 is an increase of 1

etc etc

Answer 24

that means that we can find some quadratic function to fit all of the data points

Answer 25

where

5, 6, 8, 11, 15, 20, 26, 33, 41

is represented by

(1,5),(2,6),(3,8),(4,11),(5,15),(6,20),(7,26),(8,33),(9,41)

Answer 26

Oh okay so you have to write it in a quadratic formula?

Answer 27

you can if you want, but they're just asking if it's possible to write a function

and yes it is possible

Answer 28

Oh okay thanks Jim

Answer 29

np