Question

Four students wrote sequences during math class. Andre mc011-1.jpg Brenda mc011-2.jpg Camille mc011-3.jpg Doug mc011-4.jpg Which student wrote a geometric sequence?

Answer 1

shorter answer

Explanation:

doug

Answer 2

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

The common ration is obtained by dividing the a term by the preceding term.

Given that four students wrote sequences during math class with
Andre writing
`-(3)/(4) ,(3)/(8) ,-(3)/(16) ,-(3)/(32) , . . .`
Brenda writing
`(3)/(4) ,-(3)/(8) ,(3)/(16) ,(3)/(32) , . . .`
Camille writing
`(3)/(4) ,(3)/(8) ,-(3)/(16) ,-(3)/(32) , . . .`
Doug writing
`(3)/(4) ,-(3)/(8) ,(3)/(16) ,-(3)/(32) , . . .`

Notice that the common ratio for the four students is
`- (1)/(2)`.

For Andre, the last term is wrong and hence his sequence is not a geometric sequence.
For Brenda, the last term is wrong and hence her sequence is not a geometric sequence.
For Camille, her sequence is not a geometric sequence.
For Doug, his sequence is a geometric sequence with a common ratio of
`- (1)/(2)`.

Therefore, Doug wrote a geometric sequence.