An arithmetic sequence has this recursive formula:
1 answer:
Answer:
Step-by-step explanation:
So the explicit formula is generally defined as . where d is essentially the "slope", basically how much it's changing from term to term. anyways if you look at the recursive formula you'll notice it's taking the previous term and subtracting 4. This is what d is going to be, -4 and since a_1 is given you plug that in as well. This gives you the equation
which can also be written as
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Answer:
See attached pictures.
Step-by-step explanation:
The sine and cosine functions have the forms: and
. A is the amplitude for each function. The period is found by dividing 2π the absolute value of B or
. C shifts the function up and down.
The sine function always starts and ends on the x-axis.
The cosine function always starts and ends at the y=A.
6.) The sine function starts at (0,0) then peaks at 5. Comes down to 0 and down to -5 before returning to 0.
The amplitude is 5.
The period is
7.) Here A=3 so the amplitude is 3, B is 1/2 so the period is 4π. Start at (3,0) and descend down to (2π, 0). Go back up to (4π, 3).
8.) Here A = 2 so the amplitude is A. B is 2π so the period is 1. C is 1 so the graph is shifted up a unit.
Start the graph at (0,1) and go up to (0.25,3) and down to (0.5,1) and continue downward to (0.75, -3) then back up to (1,1).
