Geometric Sequence a3= 8 a5=14 a7=?
Answers
Answered by
1
Answer:
20, maybe
Step-by-step explanation:
Answered by
0
Answer:
Step-by-step explanation:
Geometric Sequence a3= 8 a5=14 a7=?
The value of
a
10
=
19683
Explanation:
a
3
=
−
9
,
a
6
=
243
;
a
10
=
?
n
th term in G.P series is
a
n
=
a
1
⋅
r
n
−
1
;
a
1
and
r
are
first term and common ratio of G.P. series.
a
3
=
a
1
⋅
r
3
−
1
or
a
1
⋅
r
2
=
−
9
;
(
1
)
similarly ,
a
6
=
a
1
⋅
r
6
−
1
or
a
1
⋅
r
5
=
243
;
(
2
)
Dividing
equation (2) by equation (1) we get,
r
5
r
2
=
−
243
9
or
r
3
=
−
27
or
r
=
−
3
Putting
r
=
−
3
in equation (1) we
get ,
a
1
⋅
(
−
3
)
2
=
−
9
or
a
1
=
−
9
9
or
a
1
=
−
1
∴
a
10
=
a
1
⋅
r
10
−
1
=
−
1
⋅
(
−
3
)
9
=
19683
The value of
a
10
=
19683
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