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

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 $-\frac{3}{4} ,\frac{3}{8} ,-\frac{3}{16} ,-\frac{3}{32} , . . .$
Brenda writing $\frac{3}{4} ,-\frac{3}{8} ,\frac{3}{16} ,\frac{3}{32} , . . .$
Camille writing $\frac{3}{4} ,\frac{3}{8} ,-\frac{3}{16} ,-\frac{3}{32} , . . .$
Doug writing $\frac{3}{4} ,-\frac{3}{8} ,\frac{3}{16} ,-\frac{3}{32} , . . .$

Notice that the common ratio for the four students is $- \frac{1}{2}$.

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 $- \frac{1}{2}$.

Therefore, Doug wrote a geometric sequence.

Answer 2

Answer:

it was doug.

Step-by-step explanation: