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Fofino [41]
3 years ago
6

Find the 8th term of the arithmetic sequence -2x+5−2x+5, -7x+8−7x+8, -12x+11, ...

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

  -37x+26

Step-by-step explanation:

The x-coefficients have the sequence ...

  -2, -7, -12, ...

which has first term -2 and common difference of (-7 -(-2)) = -5. Then the 8th x-coefficient is ...

  -2 + (-5)(8 -1) = -37

__

The constants have the sequence ...

  5, 8, 11, ...

which has first term 5 and common difference 8 -5 = 3. Then the 8th constant term is ...

  5 +(3)(8 -1) = 26

The 8th term of the sequence is -37x +26.

_____

The general term of an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 +d(n -1)

In the above, we have used n=8 to find the 8th term.

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marshall27 [118]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
?<br><br>2 to the 3rd power - 5 x (6 + 4) ÷ 2<br><br>show your work​
Delvig [45]

Answer:

-17

Step-by-step explanation:

2^3 - 5 * (6 + 4) ÷ 2

Following PEMDAS, we must focus on the parenthesis first.

2^3 - 5 * (6 + 4) ÷ 2

2^3 - 5 * (10) ÷ 2

Now we will focus on the exponent:

2^3 - 5 * 10 ÷ 2

8 - 5 * 10 ÷ 2

Now Multiplication/Division.

This is where you must follow the order in the equation where you see the multiplication sign first, so you multiply first.

8 - 5 * 10 ÷ 2

8 - 50 ÷ 2

Next, Divide:

8 - 50 ÷ 2

8 - 25

Subtract:

8 - 25

-17

2^3 - 5 * (6 + 4) ÷ 2 = -17.

4 0
3 years ago
Read 2 more answers
Show how to decompose the number 56,934
Nastasia [14]
I mean...the number ends in a even number, you could go by 2's, or is that not what you mean. I can help you some other way if you could explain a bit more :)
6 0
3 years ago
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If a house is 15m long and 12m wide how long is the diagonal of the house
Nitella [24]
If this talks about the diagonal of the flooring then it is 9m
3 0
3 years ago
There are 20 bicycles and 10 cars parked in the parking lot. Each bicycle had two wheels and each car had four wheels. How many
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3 years ago
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