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Which statements about geometric sequences are true?

There is more than one correct answer. Select all that apply.

Geometric sequences have a common ratio between terms.

Geometric sequences are restricted to the domain of natural numbers.

Geometric sequences can have a first term of 0.

Geometric sequences have a common difference between terms.

Geometric sequences only increase, never decrease.

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Answer:

Step-by-step explanation:

Geometric sequences have a common ratio between terms.  TRUE

Geometric sequences are restricted to the domain of natural numbers.  FALSE

Geometric sequences can have a first term of 0.  FALSE.  If this were true, then every member the sequence would also be 0.

The correct statements are,

Geometric sequences have a common ratio between terms.

Geometric sequences :

A geometric series is one which has a constant ratio between successive terms.

  • A geometric series is the sum of the terms of a geometric sequence.
  • Geometric sequences may be increase or decrease.
  • Geometric sequences can not have a first term of 0, if the first term is zero, it will not result in a Geometric Progression.

Learn more about the Geometric sequences here:

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