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Bezzdna [24]
2 years ago
5

Find the Nth term of this number sequnce 7,10,13,16

Mathematics
1 answer:
Strike441 [17]2 years ago
3 0

\text{It is an arithmetic series.}\\\\\text{First term,}~ a = 7\\\\\text{Common difference,}~ d=10 -7 = 3\\\\\text{Nth term} = a + (n -1) d\\\\~~~~~~~~~~~~~=7+(n-1)3\\\\~~~~~~~~~~~~~=7+3n-3\\\\~~~~~~~~~~~~~=4+3n

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Answer:

y=\dfrac{1}{4}x

Kelly is correct.

Step-by-step explanation:

One person is able to plant 4 trees

Let x be the number of people

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The situation is represented by

1x=4y\\\Rightarrow y=\dfrac{1}{4}x

5 people are able to plant 20 trees

5x=5(4y)\\\Rightarrow 5x=20y\\\Rightarrow y=\dfrac{5x}{20}\\\Rightarrow y=\dfrac{1}{4}x

So, the situation is represented by y=\dfrac{1}{4}x

Hence, Kelly is correct.

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