Which of the following descriptions matches the sequence of events shown
2 answers:
<h2>Answer:</h2>
Option: D is the correct answer
D. Tossing a coin, tossing a second coin and tossing a third coin.
<h2>Step-by-step explanation:</h2>We know that when a coin is tossed then there are only two possible outcomes i.e. either a head or a tail.
Now, when a second coin is tossed then again we have two possible outcomes i.e. head and a tail.
and the total sample space of the two events is given by:
HH HT TT TH
Now, when a coin is tossed third time then in than two outcomes are possible on the coin i.e. a head and a tail.
Hence, the total number of outcomes are:
HHH HTH TTH THH
HHT HTT TTT THT
i.e. when a coin is tossed n times that the total possible outcomes are:
Here the coin is tossed three times.
Hence, the total possible outcomes are:
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Answer:
f(n) = 2n - 3 describes the arithmetic sequence,
-1, 1, 3, 5, 7, 9, 11, 13,.......
Step-by-step explanation:
Function:
A function is like a machine that gives an output for a given input.
A function has an independent variable which is called the input of the function.
The output for a given input is called the dependent variable.
Here. 'n' is the independent variable
f(n) is the function dependent variable i.e function of n as an output.
For Arithmetic sequence
Where
= nth number of the sequence.
a₁ = First term
d = common difference = a₂ - a₁ = a₃ - a₂ = so on
For a function which describes Arithmetic sequence,
a₁ = -1
d = 1 - -1 =2
∴ f(n) = a₁ + (n -1 )d
substituting the values we get
∴ f(n) = -1 +(n-1)2
using distributive property
∴ f(n) = - 1 + 2n - 2
∴ f(n) = 2n - 3 ..........is the required function