All categories

3 years ago

Position to term rule of 2, 6, 10, 14, 18 multiply by _ and subtract by _

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

4 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

2, 6, 10, 14, 18

An arithmetic sequence has a constant difference and is defined as

$\:a_n=a_1+\left(n-1\right)d$

compute the differences of all the adjacent terms

$6-2=4,\:\quad \:10-6=4,\:\quad \:14-10=4,\:\quad \:18-14=4$

The difference between all the adjacent terms is the same.

Thus,

$d=4$

and

$a_1=2$

Therefore, the nth term is computed by:

$a_n=4\left(n-1\right)+2$

$a_n=4n-2$

Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.

You might be interested in

PLEASEEE HELP MEE EXPLAIN YOUR ANSWER

Tom [10]

Answer:

Width=5

Mark brainliest plzzz

Step-by-step explanation:

8x5x3=120

8x5=40

40x3=120

8 0

3 years ago

Describe how you would convince a friend that sin(x + y) does not equal sin x + sin y.

Citrus2011 [14]

Answer:

Step-by-step explanation:

PEMDAS

anything done in the parentheses comes first

so you have to add first then multiply

this is not the distributive property unless the two numbers in parentheses are not like terms

4 0

3 years ago

A cookie recipe calls for 1/4 cup of brown sugar for one batch of 24 cookies. How many cups of brown sugar would be needed to ba

mixer [17]

Answer:1 1/2

Step-by-step explanation:trust me bro

7 0

3 years ago

Read 2 more answers

Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and

Monica [59]

Step-by-step explanation:

We have got the lines :

$y=ax+b\\y=cx+d$

Both lines intercept the x-axis in the point :

$I = (i_{1} ,i_{2})$

In all point from x-axis the y-component is equal to 0.

$I=(i_{1},o)$

We replace the I point in the lines equations:

$0=a(i_{1})+b \\0=c(i_{1})+d$

From the first equation :

$0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}$

From the second equation :

$0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}$

Then $i_{1}=i_{1}$

Finally :

$\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc$

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0

3 years ago

A stone is thrown upward from ground level. With what minimum speed should the stone be thrown so as to reach a height of 49 fee

Sveta_85 [38]

The correct answer of the given question above would be 8ft/sec. The minimum speed that the stone be thrown so as to reach a height of 49 feet is 8ft/sec. Consider this given solution here:
u^2 = 2x a x 1
<span>u^2 = 2 x 32 x 1 </span>
<span>u = 8 ft/sec
</span>Hope this answer helps and this is what you are looking for.

6 0

4 years ago

Position to term rule of 2, 6, 10, 14, 18 multiply by _____ and subtract by _____

Position to term rule of 2, 6, 10, 14, 18 multiply by _ and subtract by _