Answer:
rule: f(n) = n³
missing numbers: 125, 216, 343, 512, 729
Step-by-step explanation:
Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.
1 = 1·1·1 = 1³
8 = 2·2·2 = 2³
27 = 3·3·3 = 3³
64 = 4·4·4 = 4³
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The rule is ...
f(n) = n³
The cubes of 5 through 9 will complete the set of numbers ...
1, 8, 27, 64, 125, 216, 343, 512, 729
Answer:
x = 3/2
Step-by-step explanation:
4X + 1/2(4X +6)=12
Distribute
4x+2x+3 = 12
6x +3 = 12
Subtract 3 from each side
6x+3-3 = 12 -3
6x = 9
Divide each side by 6
6x/6 = 9/6
x = 3/2
12-x=15 subtract both side
-12 -12
—————
-x=3
— —divide both side to get the “X”
-1 -1
The answer is
X=3
Distribute: 4x - 2 - 100 = 0
add 102 to both sides: 4x = 102
Divide both sides by 4: x = 25.5