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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
3 weeks
2021-08-23T22:59:28+00:00
2021-08-23T22:59:28+00:00 1 Answers
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## Answers ( )

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.

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a

n

=

200

⋅

1

2

n

−

1

Combine

200

and

1

2

n

−

1

.

a

n

=

200

2

n

−

1