28,33,38,43
the common difference can be found by subtracting the first term from the second term.....33 - 28 = 5....so the common difference (d) = 5
an = a1 + (n - 1) * d
n = the term u want to find = 11
a1 = first term = 28
d = common difference = 5
now we sub
a11 = 28 + (11 - 1) * 5
a11 = 28 + 10 * 5
a11 = 28 + 50
a11 = 78
Do you have a picture we can see?
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
Given:
Cost of dishwasher : 315 before sales tax
sales tax : 9.22%
Total cost = 315 * 1.0922 = 344.043
Average of 10 uses per week for the next 6 years before replacing it.
There are 52 weeks in a year.
10 uses per week * 52 weeks per year * 6 years = 3120 average uses
cost for water = 0.09 ; cost for electricity = 0.13 ; total cost per use = 0.22
0.22 * 3120 = 686.40 cost of use
purchase cost = 344.043
cost of use = <u>686.40</u>
lifetime cost 1,030.443
Just addum up.
You should get the sum of 1.981 .
That's in standard form.