Step-by-step explanation:
The simplest method is "brute force". Calculate each term and add them up.
∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)
∑ = 3 + 6 + 9 + 12 + 15
∑ = 45
∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²
∑ = 4 + 16 + 36 + 64
∑ = 120
∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)
∑ = -4 + -2 + 0 + 2
∑ = -4
4. 1 + 1/4 + 1/16 + 1/64 + 1/256
This is a geometric sequence where the first term is 1 and the common ratio is 1/4. The nth term is:
a = 1 (1/4)ⁿ⁻¹
So the series is:
5. -5 + -1 + 3 + 7 + 11
This is an arithmetic sequence where the first term is -5 and the common difference is 4. The nth term is:
a = -5 + 4(n−1)
a = -5 + 4n − 4
a = 4n − 9
So the series is:
Answer:
The factored form 
is 
.
Step-by-step explanation:
Given :
We have to write the given expression in factored form.
Factor form of an expression is writing the expression in lower power form such that the product of factors given the original expression
Consider the given expression .
We know the algebraic identity 
Here 
.
Comparing with identity stated above , we have x= a , b = 11 , thus, we get
.
Thus, the factored form is .
Answer:
c.Approximately normal
Step-by-step explanation:
The manufacturer had done some test and the result is that the impact forces of the car are normally distributed. Since the sample of the test will be the same kind of car, then the distribution type of the sample will be normal too. Normal distribution will not be skewed to right or left, the data will look like a symmetrical bell shape.
Answer:
The domain of V(h(r)) is restricted to values of r greater than 0
V(h(r)) = 3.5πr^3
The volume depends on the radius of the cylinder
Step-by-step explanation:
Edgenuity
