The first four terms of a sequence are given. Determine whether they can be terms of an arithmetic sequence, a geometric sequence, or neither. If the sequence is arithmetic find the common difference. If the sequence is geometric find the common ratio. $1 , - \frac { 3 } { 2 } , 2 , - \frac { 5 } { 2 }$
A) arithmetic, $d = - \frac { 3 } { 2 }$
B) arithmetic, $d = - \frac { 1 } { 2 }$
C) geomettic, $r = - \frac { 3 } { 2 }$
D) geometric, $r = - \frac { 5 } { 4 }$
E) neither

Question

Quizplus · Accepted Answer

The differences between consecutive terms are not constant, and the ratios between consecutive terms are not constant either, so the sequence is neither arithmetic nor geometric.

The First Four Terms of a Sequence Are Given 1,−32,2,−521 , - \frac { 3 } { 2 } , 2 , - \frac { 5 } { 2 }1,−23​,2,−25​

The First Four Terms of a Sequence Are Given $1 , - \frac { 3 } { 2 } , 2 , - \frac { 5 } { 2 }$