Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 7, 10, 13, 16, ...​

Answer:

The given sequence is an arithmetic sequence.

Step-by-step explanation:

Given sequence is:

7, 10, 13, 16, ...

Here

[tex]a_1 = 7\\a_2 = 10\\a_3 = 13\\a_4 = 16[/tex]

In order for a sequence to be an arithmetic sequence the common difference between the consecutive terms of the sequence should be same. Common difference is denoted by d.

So,

[tex]d = a_2 - a_1 = 10-7 = 3\\d = a_3 - a_2 = 13-10 = 3\\d = a_4-a_3 = 16-13 = 3[/tex]

As we can see that the common difference is same for consecutive terms.

The given sequence is an arithmetic sequence.

3. Lisa's checking account charges her a $35 overdraft fee plus the purchase amount
for each purchase that cause her account balance to go below or stay below $0.
On Monday, her account balance was only $40. She made the following purchases
in order:
$25 on a gift for her friend
$10 on fast food
$37 on groceries
$15 on gas
She then deposited a $650 check into her account.
What is her new account balance? IS
(8 Points)
5498
$533
$568
$603

Six comics are to perform on a single evening. Find the probability

ljfehhgsdddzcSDJCHjgsDdlhfcgadscbsdhcSDMlnSBDZx

Evan's favourite hobby is origami. He plans to make 100 paper cranes to hang from the ceiling of his bedroom. Yesterday, he made 28 paper cranes in 4 hours. Today, he made 21 paper cranes at the same rate.
How long did Evan spend making paper cranes today?

The parallelogram shown bellow has an area of 15 units over 2

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What is the answer for number 3

A flag measures 150 feet by 75 feet. Find its area​

Can somebody help me and answer this I’ll give u thanks if ur right here’s the picture

A car is sold for $18,000. After one year, the value of the car is $9,900. Write an exponential function y to determine the value of
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y =
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The area of a rectangle is 72 square metres. The length of the rectangle is twice the width. Find the width of the rectangle.

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Two math questions


Among all pairs of numbers whose sum is 14​, find a pair whose product is as large as possible. What is the maximum​ product?
The pair of numbers whose sum is 14 and whose product is as large as possible is nothing.
​(Use a comma to separate​ answers.)
The maximum product is nothing.

and

- refer to picture

Myra is cooking meat the double number line shows that he needs 12 hours too cook 5 kilograms of meat how long does myron need to cook 3 kilograms of meat​

Can anyone help me find the value of x of this mid segment triangle?

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Given: AB ∩ CD = O, m∠NOD = x,m∠AON = 44º, m∠BOC = 102º.
Find: x.

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Write the equation of the line that is parallel to y = -2x + 4 and passes through (3, 1) in slope-intercept form.​

• The packages of henna powder cost $12 each and the squeeze
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Factor using the identity:
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Z3+8

A tourist can bicycle 26 miles in the same time as he can walk 6 miles. If he can ride 10 mph faster than he can walk, how much time should he allow to walk a 25-mile trail

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Please help its important!!
Triangle ABC in the figure above represents the area serviced by a shipping company that plans to build a distribution center at the incenter of the triangle located at point E. A circle is constructed to represent the location of the center. The diameter of the circle is 28 miles. The existing road is perpendicular to the incenter and the company is looking to build 2 more perpendicular roads but connecting the other 2 sides of the triangle. How many more miles of road will be needed?

Select one:
A. 28
B. 34
C. 43
D. 56

Which represents a function? Edge 2020.

Shannon is paid £1150 a month after deductions.

What is her net annual salary? (A year = 12 months)

3
3. Write an expression that is equivalent to
5
(3y + 15). (4 points)
O 3
-y + 9
5
03
-y + 15
5
09
5
Y + 9
09
- y + 15
5

Math help! Answers???