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Answered

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arithmetic sequence common difference 8, 16, 24,32


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Sagot :

COMMON DIFFERENCE OF AN ARITHMETIC SEQUENCE

Arithmetic sequence common difference 8, 16, 24, 32...

FORMULA:

[tex]d = \frac{b - a}{n + 1} [/tex]

where:

d = common difference

a = first extreme (first term)

b = last extreme (last term)

n = number of terms betweeen two extremes

SOLUTION:

[tex]d = \frac{b - a}{n + 1} \\ \\ d = \frac{32 - 8}{2 + 1} \\ \\ d = \frac{24}{3} \\ \\ d = 8[/tex]

ANSWER:

The common difference is 8.

To check, add the common difference to each terms to get the next term.

[tex]8 + 8 = 16[/tex] ✔︎

[tex]16 + 8 = 24[/tex] ✔︎

[tex]24 + 8 = 32[/tex] ✔︎

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