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vesna_86 [32]
3 years ago
13

Which expression will produce a negative product?

Mathematics
1 answer:
podryga [215]3 years ago
7 0
The trick for this problem is knowing that 2 negatives make a positive.

There are 2 negatives in the first expression. We already know it will be positive.

The second expression has 4 negatives. 2 and 2 means it will be positive.

The third expression will produce a negative product.

The fourth expression since multiplied by 0 in the end will equal 0 no matter what. 

Hope this helps!

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Answer:

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Answer:

b. an = 2 • (-3)^(n - 1)

Step-by-step explanation:

Before we test a solution or two, we can easily discard most of them.

We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign).  <u>That already excludes answers A and C.</u>

Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.

We can test both D and B with n = 2, to obtain -6

Let's test answer D before:

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Let's test answer B then:

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Right!  Let's verify with n=5 to get 162:

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Confirmed, answer is B. an = 2 • (-3)^(n - 1)

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Step-by-step explanation:


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