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expeople1 [14]
3 years ago
9

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

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

The given sequence is an arithmetic sequence.

Step-by-step explanation:

Given sequence is:

7, 10, 13, 16, ...

Here

a_1 = 7\\a_2 = 10\\a_3 = 13\\a_4 = 16

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,

d = a_2 - a_1 = 10-7 = 3\\d = a_3 - a_2 = 13-10 = 3\\d = a_4-a_3 = 16-13 = 3

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

The given sequence is an arithmetic sequence.

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The city of Houston received 8 more inches of rain than the town of Groesbeck. Which algebraic expression represents the amount
Ivahew [28]

Answer:

8-i=g

Step-by-step explanation:

g= amount of rain Groesbeck gout

i = inches of rain

8 0
2 years ago
Read 2 more answers
I need help asap I have a problem I need the answer for this please its 4 -2 over 4 as a fraction =6
Alex

Answer:

its 2/6 simplified. lol

Step-by-step explanation:

3 0
2 years ago
What is the number nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8?.
Luba_88 [7]

The nearest number is 10080 if the number is nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8.

<h3>What is LCM?</h3>

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

It is given that:

The number nearest to 10000 is exactly divisible by 3, 4, 5, 6, 7, and 8.

TO find the number:

Find the LCM of 3, 4, 5, 6, 7, and 8:

LCM = 760

= 10000/760

There are two possibilities:

= 10000 - 760 = 9240

or 10000 + (840 - 760) = 10080

The nearest number = 10080

Thus, the nearest number is 10080 if the number is nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8.

Learn more about the LCM here:

brainly.com/question/20739723


#SPJ4

3 0
1 year ago
Help me asap thanks ! :)
pychu [463]

Answer 145°

Step-by-step explanation:

( 5x+5 ) + 40° = 15x - 5

[ Reason : exterior extended angle of a triangle is always equal to the sum of two non adjacent interior angles ]

( 5x+5 ) + 40° = 15x - 5

i.e, x= 10°

put this value of x on <PGF

= 15x - 5

= 15 * 10 - 5

=145°

6 0
3 years ago
Is (1, 1) a solution to the inequality 6x + 6y &lt; 15?
djyliett [7]

Answer:

Yes

Step-by-step explanation:

Plug the given values in for x  and y to check (1,1) = (x,y)

6(1)+6(1) < 15

6+6 < 15

12<15

12 is less than 15 therefore (1,1) is a solution

5 0
3 years ago
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