fabian7386 fabian7386
  • 10-10-2022
  • Mathematics
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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 of x P class=

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sqdancefan
sqdancefan sqdancefan
  • 10-10-2022

Answer:

  x = 4

Step-by-step 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.

__

Additional comment

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

  4, 12, 20, ...

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