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Ket [755]
3 years ago
13

Write an equation for the nth term of the arithmetic sequence 44, 62,80,98

Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

Answer:

a_{n} = 18n + 26

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 44 and d = 62 - 44 = 18 , thus

a_{n} = 44 + 18(n - 1) = 44 + 18n - 18 = 18n + 26

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<img src="https://tex.z-dn.net/?f=2%28x%20-%208%29%20%2B%204x%20%3D%206%28x%20-%202%29%20-%204" id="TexFormula1" title="2(x - 8)
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In this question, you're solving for x.

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Distribute the 2 to the variables inside the parenthesis.

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Distribute the 6 to the variables inside the parenthesis.

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Add 16 to both sides

0 = 0

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All real numbers and solutions

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