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professor190 [17]
3 years ago
9

Which expression is not equivalent to the other expressions?

Mathematics
1 answer:
Dima020 [189]3 years ago
6 0
The last expression, - 4( 3x + 6).
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3 years ago
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mestny [16]

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An explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

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A geometric sequence has a constant ratio, denoted by 'r', and is defined by

f_n=f_1\cdot r^{n-1}

Determining the common ratios of all the adjacent terms

\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

f_n=f_1\cdot r^{n-1}

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Thus, an explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

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3 years ago
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vichka [17]

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Step-by-step explanation:

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