All categories

3 years ago

What are the next two terms in the sequence? 2, 14, 26, 38, ...

Mathematics

2 answers:

poizon [28]3 years ago

7 0

Answer:

Step-by-step explanation:

$a(1)=2\\\\a(2)=a(1)+12=2+12=14\\\\a(3)=a(2)+12=14+12=26\\\\a(4)=a(3)+12=26+12=38\\\\a(5)=a(4)+12=38+12=50\\\\a(5)=a(5)+12=50+12=62$

If you want the formula.

It's an arithmetic sequence with the first term 2 and common difference 12.

The explicit formula of an arithmetic sequence:

$a(n)=a(1)+(n-1)d$

<em>d</em><em> - common difference</em>

Substitute:

$a(n)=2+(n-1)(12)$ <em>use the distributive property</em>

$a(n)=2+12n-12$

$a(n)=12n-10$

ki77a [65]3 years ago

5 0

Answer:

50, 62

The drawing will help

You might be interested in

the pitch, or frequency, of a vibrating string varies directly with the square root of the tension. if a string vibrates at a fr

Naily [24]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\begin{array}{llll}
\stackrel{frequency}{f}\textit{ of a vibrating string varies directly}\\
\qquad \qquad \textit{with the square root of the tension }\stackrel{tension}{t}
\end{array}$

$\bf f=k\sqrt{t}\quad \textit{we also know that }
\begin{cases}
f=300\\
t=8
\end{cases}\implies 300=k\sqrt{8}
\\\\\\
\cfrac{300}{\sqrt{8}}=k\implies \cfrac{300}{\sqrt{2^2\cdot 2}}=k\implies \cfrac{300}{2\sqrt{2}}=k\implies \cfrac{150}{\sqrt{2}}=k
\\\\\\
\textit{and we can \underline{rationalize} it to }\cfrac{150\sqrt{2}}{2}\implies 75\sqrt{2}=k$

$\bf thus\qquad f=\stackrel{k}{75\sqrt{2}}\sqrt{t}\implies \boxed{f=75\sqrt{2t}}\\\\
-------------------------------\\\\
\textit{now, when t = 72, what is \underline{f}?}\qquad f=75\sqrt{2(72)}$

5 0

3 years ago

Read 2 more answers

Help me again please ‘,:)

cluponka [151]

Answer:

the third or fourth one probably

Step-by-step explanation:

4 0

3 years ago

5(wx-v)=9(x+v)<br> make x the subject

Zepler [3.9K]

Expand the brackets first
5(wx-v) = 9(x + v)
5wx - 5v = 9x + 9v

Get all x's on one side and everything on on the other side
9x - 5wx = 9v + 5v

factorise out the x
x(9-5w) = 14v

then divide by 9-5w
x = 14v/(9-5w)

3 0

3 years ago

Read 2 more answers

find the flux of the constant vector field v→=3i→ 2j→−5k→ through a square plate of area 25 in the xz-plane oriented in the posi

Readme [11.4K]

The flux across a surface is an indicator of the rate at which fluid is flowing through it when there is a fluid flowing in three dimensions and a surface positioned inside that space.

<h3>What is Electric Flux?</h3>

A feature of an electric field is electric flux. One way to conceptualize it is as the quantity of forces interacting in a specific space.
According to conventional wisdom, electric field lines begin with positive electric charges and conclude with negative charges.
A closed surface's field lines are seen as negative when they are directed into it, and as positive when they are directed out of it.
Every field line that is directed into a closed surface continues through the interior and is often directed outward somewhere else on the surface if there is no net charge present within the surface.
The net, or total, electric flux is zero because the size of the negative and positive fluxes are just about equal.
A closed surface that contains a net charge will have a total flux that is proportional to the enclosed charge, positive if it is positive and negative if it is negative.

To Learn more About flux across refer to:

brainly.com/question/26289097

#SPJ4

8 0

1 year ago

Read 2 more answers

Amanda and Ndiba are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodi

Gemiola [76]

Answer is on the attachment. Brainlist pls.

Step-by-step explanation: