All categories

3 years ago

Consider the arithmetic sequence 3,8,13,18 find S15

Mathematics

1 answer:

lora16 [44]3 years ago

3 0

Answer:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

to the previous term in the sequence gives the next term. In other words,

(

−

)

Arithmetic Sequence:

This is the formula of an arithmetic sequence.

(

−

)

Substitute in the values of

and

(

)

(

−

)

Simplify each term.

Tap for more steps...

−

Subtract

from

−

Step-by-step explanation:

You might be interested in

What is the volume of the cylinder

evablogger [386]

The answer is the first option, you multiply 14^2 by 9

4 0

4 years ago

Somebody please prove if a triangle with side length of 6,8,10 is a right triangle using the Pythagorean theorem!! Will mark Bra

BabaBlast [244]

Answer:
Pythagorean’s theorem states that if a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the side lengths of the right triangle

Given that we can plug in
a= 6 , b = 8 , c = 10

We get an equation:

6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100

5 0

3 years ago

4 cos²x – 1=0<br><br> What is the solution?

andreev551 [17]

Answer:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+\pi n, n\in \mathbb{Z}$

Step-by-step explanation:

$4\text{cos}^2(x)-1=0\\4\text{cos}^2(x)=1\\$

$cos(x)=\pm\sqrt{\frac{1}{4} }$

$cos(x)=\pm\frac{1}{2}$

So, when cos(x) is equal to

$\frac{1}{2} \text{ and } -\frac{1}{2}$ ?

For

$cos(x)=\frac{1}{2}$

We are talking about x = 60º and x = 300º, Quadrant I and IV, respectively. In radians:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z}$

For

$cos(x)=-\frac{1}{2}$

We are talking about x = 120º and x = 240º, Quadrant II and III, respectively. In radians:

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+\pi n, n\in \mathbb{Z}$

6 0

3 years ago

12. If 5t + 2 = 6, then t =

tankabanditka [31]

It would be t=0.8, mainly bc you subtract two from six , that reduces it to four
then you divide four by five and it should give you your answer
and to chack your work put .8 where t was and solve

6 0

4 years ago

Read 2 more answers

$70 shoes, with 6% sales tax

Sergio039 [100]

Answer: $4.20

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers