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3 years ago

Consider the sequence 3, 9, 15, 21, ...

Mathematics

1 answer:

tino4ka555 [31]3 years ago

7 0

Answer:

The ordered pair to represent the second term as an ordered pair is:

(2, 9)

Step-by-step explanation:

<u>Background knowledge about the sequence function</u>

A sequence is defined as the function whose domain is the set of natural numbers (counting numbers).

1, 2, 3, 4, .... n, ....

↓

a₁, a₂, a₃, a₄, .... aₙ, ....

Here,

1 gets mapped onto a₁,

2 gets mapped onto a₂, and so on

The numbers a₁, a₂, a₃, a₄, .... aₙ, .... are the terms of the sequence.

The number aₙ is the nth term of a sequence.

And the sequence function is denoted by {aₙ}.

Given the sequence

3, 9, 15, 21, ...

Here,

a₁ = 3 is the first term

a₂ = 9 is the second term

Thus, the ordered pair to represent the second term as an ordered pair is:

(2, 9)

You might be interested in

FIVE TIMES 2 PLUS 3 TO THE POWER OF 2

julsineya [31]

Answer:

Step-by-step explanation:

3 to the power of 2 is 9

5 times 2 is 10

10 plus 9 is 19

7 0

4 years ago

Read 2 more answers

ANSWER ASAP PLZ!!

Vikentia [17]

$\text{If is}\\\\\left\{\begin{array}{ccc}0.2-0.3y=4\\2.3x-y=1.2\end{array}$

Answer:

$\large\boxed{\left(-\dfrac{344}{69},\ -\dfrac{38}{3}\right)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}0.2-0.3y=4\\2.3x-y=1.2&\text{multiply both sides by (-0.3)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}0.2-0.3y=4\\-0.69x+0.3y=-0.36\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-0.69x+0.2=3.64\qquad\text{subtract 0.2 from both sides}\\.\qquad-0.69x=3.44\qquad\text{divide both sides by (-0.69)}\\.\qquad x=-\dfrac{3.44\cdot100}{0.69\cdot100}\\.\qquad \boxed{x=-\dfrac{344}{69}}\\\\\text{Calculate the value of y from first equation:}$

$0.2-0.3y=4\qquad\text{subtract 0.2 from both sides}\\-0.3y=3.8\qquad\text{divide both sides by (-0.3)}\\y=-\dfrac{3.8\cdot10}{0.3\cdot10}\\\boxed{y=-\dfrac{38}{3}}$

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$\text{If is}\\\\\left\{\begin{array}{ccc}0,2x-0,3y=4\\2.3x-y=1.2\end{array}\right$

Answer:

$\large\boxed{\left(-\dfrac{52}{7},\ -\dfrac{128}{7}\right)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}0.2x-0.3y=4&\text{multiply both sides by 10}\\2.3x-y=1.2&\text{multiply both sides by 10}\end{array}\right\\\\\left\{\begin{array}{ccc}2x-3y=40&\text{multiply both sides by (-10)}\\23x-10y=12&\text{multiply both sides by 3}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-20x+30y=-400\\69x-30y=36\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad49x=-364\qquad\text{divide both sides by 49}\\x=-\dfrac{364:7}{49:7}\\.\qquad\boxed{x=-\dfrac{52}{7}}$

$2\left(-\dfrac{52}{7}\right)-3y=40\\-\dfrac{104}{7}-3y=40\qquad\text{multiply both sides by 7}\\-104-21y=280\qquad\text{add 104 to both sides}\\-21y=384\qquad\text{divide both sides by (-21)}\\y=-\dfrac{384:3}{21:3}\\\boxed{y=-\dfrac{128}{7}}$

7 0

4 years ago

a man buys and old bicycles for Rs 1850 and spend Rs 150 to repair it if he sells it at 25% profit find its selling price

AysviL [449]

Answer:

Rs 2,500

Step-by-step explanation:

He has spent Rs1850 + Rs150 = Rs2000

if Rs2000 = 100%

X = 125%

By cross multiplication, we get;

100x = 2000 * 125

x = 250000/100

x = Rs 2,500

5 0

3 years ago

Write 5% as a decimal.

jolli1 [7]

You cannot do it that way. Make sure the question you wrote is correct, because you would divide 5 by 100, not 100 by 5. A simple way is to move the decimal point two points to the left. 5% as a decimal is 0.05.

The answer is false if the question is written this way.

3 0

4 years ago

The surface area of a rectangular prism is 32 square inches. The volume of the prism is 12 cubic inches. The sum of all edge len

Goryan [66]

Answer:

36 cubic inches.

Step-by-step explanation:

Let the length, width and height of the rectangular prism are a, b, c respectively.

So, surface area, 2(ab + bc + ca) = 32 {Given} ............ (1)

Volume, abc = 12 {Given} ............ (2)

And, the sum of all the edges, 4(a + b + c) = 28 {Given} .......... (3)

Now, if the length width and height are increased by 1 inch, then the volume of the prism will be = (a + 1)(b + 1)(c + 1)

= abc + (ab + bc + ca) + (a + b + c) + 1

= 12 + 16 + 7 + 1 {From equations (1), (2) and (3)}

= 36 cubic inches. (Answer)

3 0

4 years ago