To find the 1st difference given the second and third term, follow these steps:
1. Identify the given terms:
- The second term is [tex]\(3a + 5\)[/tex]
- The third term is [tex]\(8a - 3\)[/tex]
2. Calculate the 1st difference by subtracting the second term from the third term:
[tex]\[
\text{1st difference} = (8a - 3) - (3a + 5)
\][/tex]
3. Simplify the subtraction:
[tex]\[
8a - 3 - 3a - 5
\][/tex]
4. Combine like terms:
[tex]\[
(8a - 3a) + (-3 - 5) = 5a - 8
\][/tex]
So, the 1st difference is [tex]\(5a - 8\)[/tex].
