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IRINA_888 [86]
3 years ago
8

What is the value of the first term in the following arithmetic sequence?

Mathematics
2 answers:
g100num [7]3 years ago
8 0

\sf{   } 

The first first term in the following arithmetic sequence

-9, -2, 5, 12, .. is -9

LekaFEV [45]3 years ago
6 0

Answer:

-9

Step-by-step explanation:

-9, -2, 5, 12,.........

The first term is the first number in the sequence

-9

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How would u figure this out?
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The letter x is a placeholder for a number. If we knew what x was, then we can replace it with that number. For now it's unknown.

We start off with x markers in a single box. Then 15 are given out to be left with x-15 markers. This happens exactly 3 times which is what the diagram shows

3 copies of (x-15) = 3*(x-15) = 3x- 45

Put another way, we have 3 'x's that add to 3x, and we have 3 copies of "-15" which combine to -45

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x = 45

Therefore, we started off with 45 markers in each box. If we take 15 away then x-15 = 45 - 15 = 30 markers are left. Then triple this to get 3*30 = 90 which is the total amount left over. This helps confirm the answer.

Final Answer: 45 markers were originally in each box

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