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
Answer:
x=10
Step-by-step explanation:
Use pythagorean theorem because the triangle is right-angled triangle.
6²+8²=x²
36+64=x²
100=x²
x=√100
x=10
Answer:
75%
Step-by-step explanation:
3/12 =1/4
so 1/4 of 100% = 75%
Answer:
f(g(- 2)) = 5
Step-by-step explanation:
Evaluate g(- 2) then use this result to evaluate f(x)
g(- 2) = (- 2)² - 5 = 4 - 5 = - 1, then
f(- 1) = - (- 1) + 4 = 1 + 4 = 5
