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:
Step-by-step explanation:
r = 7 cm
h = 15cm
pi = 3.14
Top and bottom (These questions drive you crazy when you don't know if there is both a top and bottom).
Area = 2* pi *r^2 = 2 * 3.14 * 7^2
Area = 2 * 3.14 * 49
Area = 307.72 Don't round this.
Cylinder body
Cylinder body = Circumference * h = 2*pi * r * h
Cylinder body = 2* 3.14 * 7 * 15
Cylinder body = <u> 659.4</u>
<u />
Total = 967.12
Rounded 967.1 Answer
Step-by-step explanation:
Step-by-step explanation:
\begin{gathered} \frac{8x - 3}{3x} = 2 \\ 8x - 3 = 6x \\ 8x - 6x = 3 \\ 2x = 3 \\ x = \frac{3}{2} \end{gathered}
3x
8x−3
=2
8x−3=6x
8x−6x=3
2x=3
x=
2
3
The intercepts are -2 and -7 on the x-axis
First question
Volume = height * radius*radius*3.14
5*3*3*3.14 = 141.3 in3
Second qustion
Violume = height * radius * radius * 3.14
28*8*8*3.14= 5626.88 cm3
So the answer is 1875.63 because it's the closest
