4) A sequence is defined recursively by f(1) = 2
and f(n) = 3f(n-1) + 1. Find the first three
terms of the sequence.

- How do I do this question and just Recursive Sequences in general?

.

Let me explain why.

this is our first term.

second term.

third term.

...

Pretty simple huh?

Hope this helps.

The first 3 terms are 2, 7, 22.

Step-by-step explanation:

The n is the sequence number of the term: f(1) means the first term.

The second term

f(2) = 3f(n - 1) + 1   We make n  = 2:

=  3f(2-1) + 1

=  3f(1) + 1        f(1) = 2 so:

=  3*2 + 1

=  7.

3rd term f(3)

= 3f(3 - 1) + 1

= 3f(2) + 1

=  3(7) + 1

= 22.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18