how to solve the 8th term of 1/2 1/3 1/4 1/5
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how to solve the 8th term of 1/2 1/3 1/4 1/5
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Answer:
The 8th term in the sequence,
a
8
, is 13.
Explanation:
This appears to be an arithmetic sequence, as the numbers are increasing by 2 each time.
The formula for finding the
n
th term in an arithmetic sequence is:
a
n
=
a
1
+
(
n
−
1
)
d
a
1
, the first term in this sequence is -1.
d
, or the common difference is 2.
Plug this information into the formula:
a
n
=
−
1
+
(
n
−
1
)
2
a
n
=
2
n
−
3
Now plug in 8 for
n
to find
a
8
, or the 8th term in the sequence:
a
8
=
2
(
8
)
−
3
a
8
=
13
Answer:
11,12,13,14,15
These numbers are in harmonic progression.
nth term of harmonic progression is given as
1a+(n−1)d
Here a=1 and d=1
∴
nth term is 11+(n−1)
=1n