Determine whether the sequence is arithmetic.If so,find the common difference. ?
3, $\frac { 11 } { 4 }$ , $\frac { 5 } { 2 }$ , $\frac { 9 } { 4 }$ ,2,...
?
A)Arithmetic sequence, $d = - \frac { 1 } { 4 }$
B)Arithmetic sequence,d = $\frac { 1 } { 4 }$
C)Arithmetic sequence,d = -1
D)Arithmetic sequence, $d = \frac { 3 } { 4 }$
E)Not an arithmetic sequence

Question

Quizplus · Accepted Answer

The common difference (d) can be found by subtracting any term from the term that follows it. For this sequence, $d = \frac{11}{4} - 3 = -\frac{1}{4}$, which confirms it's an arithmetic sequence with a common difference of $-\frac{1}{4}$.

Determine Whether the Sequence Is Arithmetic 114\frac { 11 } { 4 }411​

Determine Whether the Sequence Is Arithmetic $\frac { 11 } { 4 }$