Provide an appropriate response.
-For $13 , x , 2$ to be an arithmetic sequence, $x$ must be:
A) $\frac { 11 } { 2 }$
B) $\frac { 15 } { 2 }$
C) $\frac { 28 } { 3 }$
D) $\frac { 17 } { 3 }$

Question

Quizplus · Accepted Answer

In an arithmetic sequence, the difference between consecutive terms is constant. The difference between $x$ and $2$ should be the same as the difference between $13$ and $x$. Thus, $x - 13 = 2 - x$. Solving for $x$, we get $2x = 15$, so $x = \frac{15}{2}$.

Provide an Appropriate Response 13,x,213 , x , 213,x,2 To Be an Arithmetic Sequence

Provide an Appropriate Response $13 , x , 2$ To Be an Arithmetic Sequence