Find the 1st difference given the second and third term. Second term is 3a+5 ; third term is 8a−3 .(1 point) The 1st difference is

1 answer

To find the first difference between the second term \(3a + 5\) and the third term \(8a - 3\), we subtract the second term from the third term:

First difference = Third term - Second term

\[ = (8a - 3) - (3a + 5) \]

Now, simplify this:

\[ = 8a - 3 - 3a - 5 \]

Combining like terms:

\[ = (8a - 3a) + (-3 - 5) \] \[ = 5a - 8 \]

Therefore, the first difference is:

\[ \boxed{5a - 8} \]