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What is the common ratio:The sequence 200, 100, 50, 25, … has a common ratio of___
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What is the common ratio:The sequence 200, 100, 50, 25, … has a common ratio of___
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Mathematics
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2021-08-23T22:59:28+00:00
2021-08-23T22:59:28+00:00 1 Answers
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Answer:
answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
1
2
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
1
2
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
200
and
r
=
1
2
.
a
n
=
(
200
)
⋅
(
1
2
)
n
−
1
Simplify the expression.
Tap for more steps…
a
n
=
200
⋅
1
2
n
−
1
Combine
200
and
1
2
n
−
1
.
a
n
=
200
2
n
−
1