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Harmonic Sequence

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1K views9 pages

Harmonic Sequence

Uploaded by

WellaCelestino
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Harmonic sequence – is a

sequence such that the


reciprocals of the terms form
an arithmetic sequence.
EXAMPLE
½, ¼, 1/6, 1/8
Fibonacci sequence – is a
sequence where its first two
terms are either both 1, or 0
and 1; and each term,
thereafter, is obtained by
adding the two preceding
terms.
EXAMPLE
0, 1, 1,2, 3, 5, …
State whether the given
sequence is arithmetic,
geometric, harmonic, or part of
a Fibonacci. Then, give the next
term of the sequence.
1. 8, 16, 24, 32, …
2. 1/3, 1/9, 1/27, 1/81,…
3. 1296, 216, 36, 6, …
4. 8, 13, 21, 34, 55, …
5 3
5. ¾, 1, , , …
4 2
1 1 1 1
6. , , , ,…
24 20 16 12
7. 2√2, 5√2, 8√2, 11√2, …
6 6 6 6
8. , , , , …
11 17 23 29
9. 6, -18, 54, -162,…
8 8
10. 40, 8, , , …
5 25
Find the indicated term of the
following harmonic sequence.
10 10 10 th
1. , , , … 6 term
3 6 9
1 1 1 1 th
2. , , , , …13 term
2 5 8 11
4 2 4 1 th
3. , , , , …15 term
5 3 7 2
th
Find the 8 term of the
harmonic sequence.
1 2 1
1. , , , …
2 5 3
8 8 8 th
2. , , , …10 term
3 7 11
1 2 1 th
3. 2, , , , …8 term
2 9 8

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