What is the common difference in the following arithmetic sequence?

3/4 ,  6/4 ,  9/4 , . . .

(1 point)
The common difference in the arithmetic sequence is

1 answer

To find the common difference in the given arithmetic sequence \( \frac{3}{4}, \frac{6}{4}, \frac{9}{4}, \ldots \), you subtract the first term from the second term:

\[ \text{Common difference} = \frac{6}{4} - \frac{3}{4} = \frac{6 - 3}{4} = \frac{3}{4} \]

You can check with the next pair of terms:

\[ \frac{9}{4} - \frac{6}{4} = \frac{9 - 6}{4} = \frac{3}{4} \]

Thus, the common difference in the arithmetic sequence is \(\frac{3}{4}\).