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The first three terms of an arithmetic sequence are x, 2x + 4, 5x. Find the value of x.
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The first three terms of an arithmetic sequence are x, 2x + 4, 5x. Find the value-example-1
User Patrick Knott
by
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1 Answer

18 votes
18 votes

Answer:

x = 4

Explanation:

You want to know the value of x in the arithmetic sequence x, 2x+4, 5x.

Arithmetic sequence

Terms of an arithmetic sequence have a common difference. This means ...

(2x+4) -x = 5x -(2x+4)

x +4 = 3x -4 . . . . . . . . . . simplify

8 = 2x . . . . . . . . add 4-x

4 = x . . . . . . divide by 2

The value of x is 4.

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Additional comment

The common difference is x+4 = 8. The sequence is ...

4, 12, 20, ...

User Dorin Rusu
by
2.7k points
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