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zheka24 [161]
3 years ago
8

Identify the Formula for finding the nth term of an Arithmetic Sequence, where A(n) is the nth term of an Arithmetic Sequence, a

is the first term, n is the term number and d is the common difference.
a) A(n)=a+(n)(d−1)

b) A(n)=a+(n+1)d

c) A(n)=a+(n−1)d

d) A(n)=a−1+(n−1)d
Mathematics
1 answer:
Karolina [17]3 years ago
5 0
The answer is letter c. If we talked about arithmetic sequence it has the explicit formula: A(n)= a+(n-1)d. So it showed in the choices that letter c has the correct formula for arithmetic sequence. It is the only formula if you are going to find nth term of an arithmetic sequence. 
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Select the functions that have identical graphs.
Elan Coil [88]

Answer:

c. 1 and 3

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot each equation.

Please see the attached image below, to find more information about the graph

s

The equations are:

1) y = sin (3x + π/6)

2) y = cos (3x - π/6)

3) y = cos (3x - π/3)

Looking at the graphs, we can see that the identical ones

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Correct option:

c. 1 and 3

3 0
4 years ago
A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3
Alisiya [41]

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = nPk=\frac{n!}{(n-k)!}

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts =  5P4+4P2+8P3

=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468

So, this can be done in 468 ways.

7 0
3 years ago
A Real estate agent receives a commission of 9% on property sold through her. What is her commission on a sale of $42,000?
NISA [10]

Answer:

$ 3780 will be commission

Step-by-step explanation:

as the commission is 9 % of the total amount of property sold

property sold for = 42000 $

9 % of the total property= 0.09 x 42000

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3 0
3 years ago
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The diamond shape is formed when you graph these coordinates.

5 0
3 years ago
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You roll a red die and a green die. What is the size of the sample space of all possible outcomes of rolling these two dice, giv
VladimirAG [237]
(red, green) = (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
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