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 arithmetic sequence, we subtract the first term from the second term.

The first term is \( \frac{3}{4} \), and the second term is \( \frac{6}{4} \).

The common difference \( d \) is calculated as follows:

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

To confirm, we can also check the difference between the second term and the third term:

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

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