Question

@whatdoesthismean
A sequence has its first term equal to 3 and each term of the sequence is obtained by adding 5 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence?

f(1) = 3 and f(n) = f(n - 1) + 5; n > 1

f(1) = 5 and f(n) = f(n - 1) + 3; n > 1

f(1) = 3 and f(n) = f(n - 1) + 5n; n > 1

f(1) = 5 and f(n) = f(n - 1) + 3n; n > 1

Answer 1

Ok so I already ruled out A and D

Answer 2

Those are incorrect right?

Answer 3

i would have ruled out B and D immediately

Answer 4

Oh ok B sorry

Answer 5

No sorry, I saw the question wrong

Answer 6

No i was correct you rule out b and d first

Answer 7

So I can rule out B and D or no?

Answer 8

ok

Answer 9

And I leaning towardds C is that correct or no?

Answer 10

Yes I believe so I will double check

Answer 11

Thank you so much your a life savor

Answer 12

Arnold deposited some money in a bank. The bank paid him a simple interest every year. After t years, the amount of money f(t), in dollars, that the bank paid Arnold was $1000 more than 20 times the number of years. Which statement best describes the steps to sketch a graph showing the relationship between f(t) and t?

Label t on the x axis and f(t) on the y axis and plot a graph having slope = 20 and y intercept = 1000.

Label t on the x axis and f(t) on the y axis and plot a graph having slope = 1000 and y intercept = 20.

Label f(t) on the x axis and t on the y axis and plot a graph having slope = 20 and y intercept = 50.

Label f(t) on the x axis and t on the y axis and plot a graph having slope = 1000 and y intercept = 50.

Answer 13

No @abbyster because when you plug in 2, it equals 13. And 3+5 does not equal 13 it equals 8 so it is A

Answer 14

Ohhhh ok thanks I didn't catch that

Answer 15

SO for The second question

Answer 16

I have completely ruled out B

Answer 17

Just find the x and y intercept

Answer 18

y always is F(t), so the y intercept would be 1000. Then the t would be x, so that would be 20. so basically the equation looks like \[f(t)=20x+1000\]

Answer 19

So it would be A

Answer 20

Awesome, I am going to close this one and make a new one

Answer 21

ok