Let's make a table of differences
0 3 8 15 24
3 5 7 9
2 2 2
Constant second difference means a quadratic polynomial,
f(n)=an² + bn +c
f(1)=0, f(2)=3, f(3)=8
0 = a+b+c
3 = 4a + 2b + c
8 = 9a + 3b + c
Subtracting pairs
3 = 3a+b
5 = 5a + b
Subtracting,
2 = 2a
a = 1
b = 5 - 5a = 0
c = -a-b = -1
f(n)=n² -1
Duh, shoulda noticed that at the beginning.
f(17)=17²-1 = 288
a₁ =5
aₙ = aₙ₋₁ - 7
aₙ = a₁ + d(n-1)
aₙ = 5 - 7(n-1)
a₇ = 5 - 7(6) = -37
Answer: -37
the answer to your question is 72
Answer:
If we round it to the nearest tenth, our answer would be,
C≈ 17.2 (answer choice C)
Step-by-step explanation:
We will have to use the Pythagorean Theorem to solve this. Since we are not looking for the hypotenuse, but rather the length of one of the legs, we will have to use this,
Let's plug in the values,
Simplify,
Since we know that the opposite of a square is the square root, we are going to apply it.
This tells us that the length of the missing leg would be,
C ≈ 17.2336879396
Answer:
417 fish
Step-by-step explanation:
139/(10/30)=139*3=417
Answer:
y=34, x=17 root 3
Step-by-step explanation:
30 60 90 triangle.
Shortest side is x, hypotenuse is 2x, bottom length is x root 3
