find nth term,2000,1000,500,250,125
Answers
Answered by
0
Answer:
31.25
Step-by-step explanation:
500
,
250
,
125
,
62.5
When provided with a geometric sequence we must first calculate the common ratio
r
:
r
is obtained by dividing a term by its preceding term:
1)
250
500
=
1
2
2)
125
250
=
1
2
For the sequence the common ratio
r
=
1
2
.
Method 1:
the first term
a
=
500
, and
n
=
5
(We require the 5th term)
The 5th term can be obtained through formula:
T
n
=
a
r
n
−
1
=
500
×
(
1
2
)
(
5
−
1
)
=
500
×
(
1
2
)
4
=
500
×
1
16
=
500
16
T
5
=
31.25
Method 2
We can find the fifth term by multiplying the 4th term by
r
T
5
=
T
4
×
1
2
=
62.5
×
1
2
=
62.5
2
=
31.25
Answered by
0
Answer:
Step-by-step explanation:
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