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Sphinxa [80]
3 years ago
9

What is the formula for the following arithmetic sequence? -9 , -2 , 5 , 12

Mathematics
2 answers:
AURORKA [14]3 years ago
8 0
You add 7 to get the next number in the sequence:
-9 + 7 = -2; -2 + 7 = 5; 5 + 7 = 12; and so on.
nirvana33 [79]3 years ago
7 0
First term:  -9
Common difference:  7


a(n) = -9 + 7(n-1), for n = {1, 2, 3, ... }

Check:  what is the first term?  let n=1.   Then a(1) = -9 + 7(1-1) = -9.  
This is correct.
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2 years ago
<img src="https://tex.z-dn.net/?f=%20-%2030%20%3D%202%28x%20-%2097%29" id="TexFormula1" title=" - 30 = 2(x - 97)" alt=" - 30 = 2
Korolek [52]
Hey there! 

In order to find out the answer to this question, we can distribute 

-30 = 2(x - 97) \\ \\ \\ 2(x) = 2x \\ \\ 2(97) = 197

Flip your problem around! 

2x - 194 = -30

Add by 194 on each of your sides 

Like:  2x - 194 + 194 \\ \\ \\ -30 + 194

Cancel out: -194 + 194  because they would give you the outcome of 0

Keep: -30 + 194 [/tex] because that'll give you: [tex]164

Your problem becomes: 2x = 164

Now, we have to divide by 2 on each of the sides

Like: \frac{2x}{2}  =  \frac{164}{2}

Cancel: \frac{2x}{2} because it will give you a outcome of 1

Keep: \frac{164}{2} because this will give you your answer

Answer: x = 82

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)
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