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
__
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:
a=3,b=0,c=5,d=-4/21
Step-by-step explanation:
The formule we use to get the slope is:
m =
a. (3,2);(4,x); m=1
→ x= (1)(4-3)+2 → 3
b. (b,-1);(2,-2); m=-1/2
→ -1= (
)(2-b) →
→ 0
c. (5,d);(9,2); m=-3/4
→ d= (
)(9-5)-2 → 5
d. (-1/3,3/4);(h,5/6); m=7/12
→
=
(
) →
We get this equation with the original one:
y=mx+b
There are three forms of linear equations:
point-slope form y2-y1=m(x2-x1)
standard form Ax + By + C = 0 or Ax + By = C
and slope-intercept form y=mx+b