Find the 1st difference given the second and third term.

Second term: [tex]$3a + 5$[/tex]
Third term: [tex]$8a - 3$[/tex]

The 1st difference is [tex]\square[/tex].



Answer :

To find the first difference given the second and third terms, we need to calculate the difference between these terms step by step.

1. Identify the given terms:
- The second term [tex]\( T_2 \)[/tex] is [tex]\( 3a + 5 \)[/tex].
- The third term [tex]\( T_3 \)[/tex] is [tex]\( 8a - 3 \)[/tex].

2. Set up the expression for the first difference:
The first difference is calculated by subtracting the second term from the third term.
[tex]\[ \text{First difference} = T_3 - T_2 \][/tex]

3. Substitute the given terms into the expression:
[tex]\[ \text{First difference} = (8a - 3) - (3a + 5) \][/tex]

4. Simplify the expression step by step:
[tex]\[ \text{First difference} = (8a - 3) - 3a - 5 \][/tex]

5. Combine like terms:
[tex]\[ \text{First difference} = 8a - 3a - 3 - 5 \][/tex]
[tex]\[ \text{First difference} = 5a - 8 \][/tex]

The first difference is [tex]\( 5a - 8 \)[/tex].