Determine whether the sequence is geometric. If so, find the common ratio. $1,−72,494,−3438,240116,..1,-\frac{7}{2}, \frac{49}{4},-\frac{343}{8}, \frac{2401}{16},..$

A) $27\frac{2}{7}$
B) - $27\frac{2}{7}$
C) $72\frac{7}{2}$
D) - $72\frac{7}{2}$
E) not geometric

Question

Determine whether the sequence is geometric. If so, find the common ratio.

1,−72,494,−3438,240116,..1,-\frac{7}{2}, \frac{49}{4},-\frac{343}{8}, \frac{2401}{16},..

A)

27\frac{2}{7}

B) -

27\frac{2}{7}

C)

72\frac{7}{2}

D) -

72\frac{7}{2}

E) not geometric

Kasia Mrugas · Accepted Answer

Final Answer : D, Explanation :   The sequence is geometric with a common ratio of   − 7 2 -\frac{7}{2} − 2 7 ​  . Each term is obtained by multiplying the previous term by   − 7 2 -\frac{7}{2} − 2 7 ​  .

Determine whether the sequence is geometric. If so, find the common ratio. $1,−72,494,−3438,240116,..1,-\frac{7}{2}, \frac{49}{4},-\frac{343}{8}, \frac{2401}{16},..$

A) $27\frac{2}{7}$
B) - $27\frac{2}{7}$
C) $72\frac{7}{2}$
D) - $72\frac{7}{2}$
E) not geometric

Definitions

Learning Objectives

Learning Objectives

Related questions