A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.
We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule
f(n + 1) = -4 f(n) + 3
We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)
f(1 + 1) = -4 f(1) + 3
f(2) = -4 • 1 + 3
f(2) = -1
We do the same thing to find the next term f(3) :
f(2 + 1) = -4 f(2) + 3
f(3) = -4 • (-1) + 3
f(3) = 7
One more time to find the next term f(4) :
f(3 + 1) = -4 f(3) + 3
f(4) = -4 • 7 + 3
f(4) = -25
Answer: <em>x = 1.25</em>
Step-by-step explanation:
<em>HF - is the middle line of the triangle ABC.</em>
Answer:
4, 4, and 8
Step-by-step explanation:
2 cups * 2 marshmallows per cup = 4 marshmallows
8 marshmallows / 2 marshmallows per cup = 4 cups of hot cocoa
16 marshmallows / 2 marshmallows per cup = 8 cups of hot cocoa
Answer: 29.7 degrees
Step-by-step explanation:
Good, I can see the diagram now!
First calculate circumference of the circle.
C=2πr
C=2π(27)
C=54π in ==> 360 degrees
54π/14=12.11757
360/12.11757=
29.709=29.7 degrees
Answer:
Step-by-step explanation:
So we have the equation:
First, subtract 3 from both sides:
Definition of absolute value:
Divide both sides by 6 for both equations:
And we're done!
