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What are the explicit equation and domain for an arithmetic sequence with a first term of 6 and a second term of 2? an = 6 − 2(n − 1); all integers where n ≥ 1 an = 6 − 2(n − 1); all integers where n ≥
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Jun 25, 2018
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What are the explicit equation and domain for an arithmetic sequence with a first term of 6 and a second term of 2?
an = 6 − 2(n − 1); all integers where n ≥ 1
an = 6 − 2(n − 1); all integers where n ≥ 0
an = 6 − 4(n − 1); all integers where n ≥ 0
an = 6 − 4(n − 1); all integers where n ≥ 1
Mathematics
high-school
Ben Last
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A sequence is "arithmetic", if the difference between 2 consecutive terms is always equal.
That is, a sequence
is arithmetic if:
, where d is called the "common difference".
---------------------------------------------------------------------------------------------------
Consider the sequence with a first term of 6 and a second term of 2
the common difference d is
,
so we construct the sequence as follows:
.
.
.
thus clearly
and n∈{1, 2, 3, 4...}
Answer:
an = 6 − 4(n − 1); all integers where n ≥ 1
Dane Lee
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Jul 1, 2018
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Dane Lee
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