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Which answer is the explicit rule for the sequence: 10.5, 9, 7.5, 6, 4.5, 3, ... an=12−1.5n an=11−1.5n an=12.5−1.5n an=12+1.5n
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Sep 3, 2017
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Which answer is the explicit rule for the sequence: 10.5, 9, 7.5, 6, 4.5, 3, ...
an=12−1.5n
an=11−1.5n
an=12.5−1.5n
an=12+1.5n
Mathematics
high-school
YUdoDis
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Hello there.
Which answer is the explicit rule for the sequence: 10.5, 9, 7.5, 6, 4.5, 3, ...
an=12−1.5n
Jim Jeffries
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Sep 5, 2017
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Jim Jeffries
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The common difference of the terms in the sequence
d = 9 - 10.5 = 7.5 - 9 = 6 - 7.5 = -1.5
The first term of the sequence is 10.5.
Therefore, the equation that represents the sequence is
an = 10.5 - 1.5(n -1)
Expanding
an = 10.5 - 1.5n + 1.5
Simplifying
an = 12 - 1.5n
The answer is THE FIRST OPTION.
Athea
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Sep 8, 2017
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Athea
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