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:
The amount is $2137.24 and the interest is $237.24.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A = P
A = total amount P = principal or amount of money deposited, r = annual interest rate n
= number of times compounded per year t = time in years In this example we have
P = $1900 , r = 4% , n = 1 and t = 3 years
After plugging the given information we have
A = 1900 
A = 1900 · 1.0
A = 1900 · 1.124864
A = 2137.24
STEP 2: To find interest we use formula A = P + I, since A = $2137.24 and P = $1900 we
have:
A = P + I
2137.24 = 1900 + I
I = 2137.24 − 1900
I = 237.24
Answer:
There is no square root of n , if n is negative