Answer:
<u>x = -7.5 - 1.5(n−1) </u>
Step-by-step explanation:
the explicit formula for the arithmetic sequence has the form
x = a + d(n−1)
a is the first term and d is the common difference
The given arithmetic sequence is
-7.5,-9,-10.5,-12
The first term is -7.5
d = common difference = -9 - (-7.5) = -1.5
∴ x = -7.5 - 1.5(n−1)
4e - 6e - 5 = 15
Begin by combining like terms:
4e - 6e = -2e.
The equation is now simplified.
Now, it is time to find the value of the variable.
-2e - 5 = 15
Step 1: Add 5 to both sides.
We now have -2e = 20.
Step 2: Divide both sides by -2 to isolate the variable.
-2e / 2 = e; 20 / -2 = -10.
Therefore, e = -10.