If a fair coin is flipped n times, the number of head/tail arrangements follows a geometric sequence. In the figure, if the coin is flipped 1 time, there are two possible outcomes, H or T . If the coin is flipped 2 times, then there are four possible outcomes: HH, HT, TH , and TT . a. Write a formula for the nth term of a sequence representing the number of outcomes if a fair coin is flipped n times. b. How many outcomes are there if a fair coin is flipped 10 times?
If a fair coin is flipped n times, the number of head/tail arrangements follows a geometric sequence. In the figure, if the coin is flipped 1 time, there are two possible outcomes, H or T . If the coin is flipped 2 times, then there are four possible outcomes: HH, HT, TH , and TT . a. Write a formula for the nth term of a sequence representing the number of outcomes if a fair coin is flipped n times. b. How many outcomes are there if a fair coin is flipped 10 times?
Solution Summary: The author explains the formula for the nth term of a sequence representing the number of outcomes, if the coin is flipped 1 times.
If a fair coin is flipped
n
times, the number of head/tail arrangements follows a geometric sequence. In the figure, if the coin is flipped
1
time, there are two possible outcomes,
H
or
T
. If the coin is flipped
2
times, then there are four possible outcomes:
HH, HT, TH
, and
TT
.
a. Write a formula for the nth term of a sequence representing the number of outcomes if a fair coin is flipped
n
times.
b. How many outcomes are there if a fair coin is flipped
10
times?
Points z1 and z2 are shown on the graph.z1 is at (4 real,6 imaginary), z2 is at (-5 real, 2 imaginary)Part A: Identify the points in standard form and find the distance between them.Part B: Give the complex conjugate of z2 and explain how to find it geometrically.Part C: Find z2 − z1 geometrically and explain your steps.
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