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Lorico [155]
3 years ago
6

What value of k causes the terms 6, 4k, 26 to form an arithmetic sequence?​

Mathematics
2 answers:
Lerok [7]3 years ago
6 0

There are 3 values given,

Find the difference between the first and last values:

26 - 6 = 20

Divide that by 2:

20 / 2 = 10

The difference between each number needs to be 10, so adding 10 to the first number would be 6 +10 = 16

Now 4k = 16

Divide both sides by 4:

k = 16/4

k = 4

Julli [10]3 years ago
3 0

Answer:

k = 4.

Step-by-step explanation:

If it is arithmetic then the differences between consecutive terms will be equal, so:

4k - 6 = 26 - 4k

4k + 4k = 26 + 6

8k = 32

k = 32/8

k = 4.

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2. Four less than six times a number is 32. Write and solve an equation.
zhenek [66]

Answer:

6x - 4 = 32. The variable (times a number) is equal to 6.

Step-by-step explanation:

So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.

Four less than 6 times a number: 6x - 4 _ __.

Now we can add the equal sign and the 32: 6x - 4 = 32.

We can now solve. Add 4 to both sides of the equation to cancel out the -4:

6x - 4 = 32

    <u>+4   + 4</u>

6x  =    36

Now we divide 6 into both sides of the equation to single out the x.

<u>6x = 36</u>

6      6

36/6 = 6, so:

x = 6

I hope that this helps.

8 0
2 years ago
If the area of a square is 100cm2, then what is its perimeter?
Vinil7 [7]

Answer:

40cm

Step-by-step explanation:

A=s*s

A=10*10

A=100 cm^2

P=4*s

P=4*10

P=40 cm

"s" represents side

6 0
3 years ago
Explain how to estimate 498÷12
PSYCHO15rus [73]
498 is approximately 500

12 is approximately 10



500/10 = 50



So, 498/12 is approximately 50.
8 0
4 years ago
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Lee records the height of players on a basketball team and calculates the mean absolute deviation of the set of data.
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3 0
3 years ago
Penny is counting the days until her grandma comes to visit. There are 98 days left. How many weeks are left until Penny's grand
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98 divided by 7

98/7 = 14

Answer: There are 14 weeks left.
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