There are six rows 18 chairs in each row in the center of the chairs for four rows of six chairs are brown the rest of the chair
1 answer:
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With 
, the Fourier series expansion of 
is
where the coefficients are obtained by computing
You should end up with
(both due to the fact that is odd)
Now the problem is that this expansion does not match the given one. As a matter of fact, since is odd, there is no cosine series. So I'm starting to think this question is missing some initial details.
One possibility is that you're actually supposed to use the even extension of, which is to say we're actually considering the function
and enforcing a period of
. Now, you should find that
The value of the sum can then be verified by choosing
, which gives
as required.
where the coefficients are obtained by computing
You should end up with
(both due to the fact that
Now the problem is that this expansion does not match the given one. As a matter of fact, since
One possibility is that you're actually supposed to use the even extension of
and enforcing a period of
The value of the sum can then be verified by choosing
as required.
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