Which graph represents a geometric sequence?

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Question:

Which graph represents a geometric sequence?

Answer:

Answer with explanation:

Geometric sequence–

The sequence is said to be geometric if each of the term of the sequence is obtained by multiplying the preceding term of the sequence by a fixed constant.

This fixed constant is known as  a common ratio and is denoted by r.

i.e. the sequence is given by:

                 a,ar,ar²,ar³,…..

The graph which represents the geometric sequence is attached to the answer.

Since the table of values are as follows:

          x             y

          1              1

          2             2

          3             4

          4             8

i.e. the sequence 1,2,4,8

form a geometric sequence.

Since the common ratio of the sequence is: 2 with first term as: 1

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(first term is: 1

second term is: 1×2=2

Third term is: 2×2=4

and fourth term is: 4×2=8 )

 

From the answer and question examples above, hopefully, they might be able to assist the student deal with the question they had been looking for and notice of all the details stated in the answer above. You possibly will then have a discussion with your classmate and continue the school learning by studying the problem with one another.

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