(8 times 4) - (2 times 3 = 8) divided by 2
Answer:
(b - c)(a - d)
Step-by-step explanation:
Given
a(b - c) + d(c - b) ← factor out - 1
= a(b - c) - d(b - c) ← factor out (b - c) from each term
= (b - c)(a - d)
An = a1 + (n - 1)(d)
Where a1 is the first term and d is the common difference.
First find d, the common difference.
24, ____, 32
a3 a4 a5
Subtract 32-24 = 8
Subtract a5 - a3 = 2
Divide 8/2 = 4
d = 4
Use d and one of the values they give us to find a1.
a3 = 24
24 = a1 + (3 - 1)(4)
24 = a1 + 2(4)
24 = a1 + 8
Subtract 8 from both sides
16 = a1
an = 16 + (n - 1)(4)
Can also be written
an = 16 + 4n - 4
an = 4n + 12