Yahoo Answers: Answers and Comments for Please question number 8 Fast? [Mathematics]
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enUS
Tue, 16 Jul 2019 11:54:55 +0000
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Yahoo Answers: Answers and Comments for Please question number 8 Fast? [Mathematics]
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From Krishnamurthy: Find a possible formula for the nth term of a ...
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Tue, 16 Jul 2019 16:26:42 +0000
Find a possible formula for the nth term of a sequence whose first five terms are given,
and use this formula to write the next three terms of the sequence.
1, 1/2, 1/3, 1/4, 1/5, ...
an = (1)^n/n
The next three terms of the sequence: 1/6, 1/7, 1/8, ...

From geezer: SERIOUSLY .. You can't do the easiest one ...
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Tue, 16 Jul 2019 14:50:06 +0000
SERIOUSLY .. You can't do the easiest one there ?

From David: By following the pattern the next three terms ...
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Tue, 16 Jul 2019 12:05:27 +0000
By following the pattern the next three terms are: 1/6, 1/7, 1/8

From Jeff Aaron: The nth term of that sequence could be:
(31/...
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Wed, 17 Jul 2019 13:52:25 +0000
The nth term of that sequence could be:
(31/120)n^4 + (77/24)n^3  (335/24)n^2 + (595/24)n  (887/60)
In that case:
Term 6 is 31/3
Term 7 is 45
Term 8 is 501/4

From llaffer: As for what the formula is, the numerators are...
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Tue, 16 Jul 2019 12:15:01 +0000
As for what the formula is, the numerators are a geometric sequence starting with 1 and a common ratio of 1, or:
1 * (1)^(n  1)
Since we have two numbers of the same base we can add the exponents to simplify to get:
(1)^n
Then the denominator is an arithmetic sequence starting with 1 and increasing by 1:
1 + 1(n  1)
Which simplifies to:
1 + n  1
n
So combining them, your expression for the "n"th term of this sequence is:
(1)^n / n