Find the common difference,d, of the given arithmetic sequence.
-$$- \frac { 3 } { 2 } , - \frac { 7 } { 2 } , - \frac { 11 } { 2 } , - \frac { 15 } { 2 } , \ldots$$
A) 5
B) $- 4$
C) $- 2$

Question

Quizplus · Accepted Answer

To find the common difference, we can subtract any term by the term before it. Doing so, we have:
\begin{align*}
- \frac { 7 } { 2 } - \left( - \frac { 3 } { 2 } ight) &= -2\
- \frac { 11 } { 2 } - \left( - \frac { 7 } { 2 } ight) &= -2\
- \frac { 15 } { 2 } - \left( - \frac { 11 } { 2 } ight) &= -2\
\end{align*}
Since the difference is constant and equal to $-2$, the answer is $\boxed{	extbf{(C)}}$.

Find the Common Difference,d, of the Given Arithmetic Sequence −32,−72,−112,−152,…- \frac { 3 } { 2 } , - \frac { 7 } { 2 } , - \frac { 11 } { 2 } , - \frac { 15 } { 2 } , \ldots−23​,−27​,−211​,−215​,…

Find the Common Difference,d, of the Given Arithmetic Sequence $- \frac { 3 } { 2 } , - \frac { 7 } { 2 } , - \frac { 11 } { 2 } , - \frac { 15 } { 2 } , \ldots$