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
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Oh ok B sorry
No sorry, I saw the question wrong
No i was correct you rule out b and d first
So I can rule out B and D or no?
And I leaning towardds C is that correct or no?
Yes I believe so I will double check
Thank you so much your a life savor
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.
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
Ohhhh ok thanks I didn't catch that
SO for The second question
I have completely ruled out B
Just find the x and y intercept
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 \[f(t)=20x+1000\]
So it would be A
Awesome, I am going to close this one and make a new one