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

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

Quizplus · Accepted Answer

The common difference $d$ can be found by subtracting any term from the term that follows it. For this sequence, subtracting $\frac{11}{4}$ from $\frac{5}{2}$ (or any subsequent terms in a similar manner) gives a common difference of $-\frac{1}{4}$, indicating it is an arithmetic sequence with $d = -\frac{1}{4}$.

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

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