3 years ago

What is the common difference of the arithmetic sequence 5, 8, 11, 14?

Mathematics

1 answer:

AnnZ [28]3 years ago

3 0

Answer:

The common difference is 3

Step-by-step explanation:

we know that

In an <u>Arithmetic Sequence</u> the difference between one term and the next is a constant called the common difference

we have

$5,8,11,14$

$a1=5$

$a2=8$

$a3=11$

$a4=14$

$a2-a1=8-5=3$

$a3-a2=11-8=3$

$a4-a3=14-11=3$

therefore

The common difference is 3

You might be interested in

What is the value of 36x-8y^2 when x=3 and y= -6?

Zepler [3.9K]

Answer:

-6 gets canceled out because it gets squared. When you square a number, you multiply it by itself. Any negative number times a negative number results in a positive number. So instead of -36 its just 36

7 0

2 years ago

Write each mixed as a decimal.<br> a) 1 3/4<br> b) 2 13/20

kakasveta [241]

Answer:

a. 1.75

b. 2.65

those are as a decimal

6 0

3 years ago

Which of the following coordinate pairs make the equation x - 9y = 12 true?

Natalka [10]

(12, 0)

12-9(0)=12
12-0=12
12=12

7 0

2 years ago

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 20 in. by cu

d1i1m1o1n [39]

VOLUME IS L × W × H

KNOW THAT OKAY

7 0

3 years ago

Please solve this equations y=6x²-5,y=17x-6/x

Amiraneli [1.4K]

Answer:

$x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31$

Step-by-step explanation:

$y=6x^2-5\\y=17x-\frac{6}{x}$

Let's substitute the first equation into the second one.

$6x^2-5=17x-\frac{6}{x}$

$6x^3-17x^2-5x+6=0$ - Multiply by $x$ and bring all the terms to one side.

I'll use my graphical calculator to solve this but you could factor:

$x=3\\x=0.5\\x=-0.67$ (All rounded to 2 decimal places)

Now we can substitute these $x$ values into an equation for $y$ .

$y=6x^2 - 5$

$x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31$

5 0

2 years ago