Answer:
see explanation
Step-by-step explanation:
(a)
A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.
Here d = - 4 , then recursive formula is
= - 4 with a₁ = 2
(b)
The explicit formula for an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 4, thus
= 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula
(c)
Using the recursive formula
a₁ = 2
a₂ = 2 - 4 = - 2
a₃ = - 2 - 4 = - 6
Using the explicit formula
a₅ = 6 - 4(5) = 6 - 20 = - 14
a₁₀ = 6 - 4(10) = 6 - 40 = - 34
a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394
Answer:
The length of the leg is 13.416
Step-by-step explanation:
To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras
h = hypotenuse = 18
a = leg 1 = 12
b = leg 2 =
h² = a² + b²
we replace the known values and solve
18² = (12)² + (a)²
324 = 144 + (a)²
324 - 144 = (a)²
324 - 144 = (a)²
√180 = a
13.416 = a
The length of the leg is 13.416
I got you fam
2(x - 4) - 4x = 0
2x - 8 - 4x = 0
-2x - 8 = 0
-2x -8 + 8 = 0 + 8 (add 8 both sides)
(divide both sides by -2)
x = -4
Hope this helps
The path can be parameterized by the vector-valued function,
where . Then
The line integral reduces to
0.4kg per week. so 0.4kg x 6 weeks is 2.4kgs