All categories

3 years ago

Start with 2. Add 6 to each term to get the following term. What is the 6th term of the sequence?

Mathematics

1 answer:

Vladimir [108]3 years ago

8 0

Answer:

Step-by-step explanation:

We can either add all the terms.

2+6=8

2,8

8+6=14

2,8,14

14+6=20

2,8,14,20

20+6=6

2,8,14,20,26

26+6=32

2,8,14,20,26,32

The Sixth term is 32

or We can multiply 6 times 5 (30) and add 2, which would give us 32.

The reasoning behind this is that we are adding six five times (so six times five) and we are also adding the first term (2).

You might be interested in

Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

7 0

3 years ago

A full moon occurs about every 30 days . If the last full moon occurred on a Friday, how many days will pass before a full moon

pentagon [3]

The answer is 30 days until it appears on a Friday again. In order to see the full moon again, we have to go through the entire cycle. So, it will be about 30 days before we would have seen another one.

7 0

3 years ago

Help plz:)))I’ll mark u Brainliest

rodikova [14]

Answe

Step-by-step explanation:

The interior angles of a triangle add up to 180. We know from the photo that there is a 90° angle and an 18° angle, and 90-18 is 72, so the other interior angle is 72°. The question is asking you to find the value of side x, so you'll need to use sin.

sin (72°) = x/16

x ≈ 15.2

4 0

3 years ago

WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT

Ksju [112]

Answer:

x=8

KN=24

LK is congruent to LM

LN is congruent to NL

5 0

2 years ago

Read 2 more answers

PLEASEE HELP!!<br><br> What is the value of x?<br><br> Enter your answer in the box

madreJ [45]

First we need to figure out how long YK is and the best way to do this is to set up a proportion

34 x
----- = ------
95.2 168

then cross multiply and divide

34 times 168=5712/95.2=60

then add the two parts of the line

60+34=94

X is 94 cm

I hope I've helped!

3 0

3 years ago