Question

Question 1
A)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
.

Answer 1

To find the first difference between the second term and the third term, you subtract the second term from the third term.

Given:
- Second term \( T_2 = 3a + 5 \)
- Third term \( T_3 = 8a - 3 \)

The first difference \( \Delta_1 \) is:
\[
\Delta_1 = T_3 - T_2 = (8a - 3) - (3a + 5)
\]

Now, simplifying the expression:
\[
\Delta_1 = 8a - 3 - 3a - 5
\]
\[
\Delta_1 = (8a - 3a) + (-3 - 5)
\]
\[
\Delta_1 = 5a - 8
\]

So, the first difference is:
\[
\Delta_1 = 5a - 8
\]

The first difference is \( 5a - 8 \).