All categories

3 years ago

What is the fourth term in this multiplication pattern ?

Mathematics

1 answer:

vova2212 [387]3 years ago

4 0

2 * 6^(n-1)
a(sub4) = 2 * 6^(4-1)
a(sub4) = 2 * 6^3
a(sub4) = 2 * 216
a(sub4) = 432

You might be interested in

Here is a triangular pyramid and its net.

bazaltina [42]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

3 0

3 years ago

What is the rate of change of the function?<br>

vaieri [72.5K]

<h3>Answer is -2</h3>

I hope it is helpful for you ....

6 0

3 years ago

Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 + 9 9 + 4m + 2m4 – 6m2 2m4 – 6m2 – 4m + 9 9 – 6m2 + 4m

Alenkasestr [34]

Answer:

$- 2m^4 - 6m^2 + 4m + 9$

Step-by-step explanation:

Given

$4m - 2m^4 - 6m^2 + 9$

Required

Express in standard form

To do this, we simply reorder the terms of the polynomial in descending order of power.

So, we have:

$- 2m^4 - 6m^2 + 4m + 9$

4 0

3 years ago

Read 2 more answers

Which mixes number is equivalent to the improper fraction 17/10

Romashka [77]

1 7/10 is equivalent to the improper fraction 17/10

8 0

3 years ago

Solve by using factorizing method:4x²-36x+81=0

boyakko [2]

Answer:

x = 4.5

Step-by-step explanation:

4x² - 36x + 81 = 0
(2x)² - 2*2x*9 + 9² = 0 Identity a² - 2ab + b² = (a - b)²
(2x - 9)² = 0
2x - 9 = 0
2x = 9
x = 4.5

8 0

3 years ago