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1 year ago

What is the nth term rule of the linear sequence below?

Mathematics

2 answers:

Burka [1]1 year ago

7 0

Answer:

$a_{n}$ = 6n - 5

Step-by-step explanation:

There is a common difference d between the consecutive terms, that is

d =7 - 1 = 13 - 7 = 19 - 13 = 25 - 19 = 6

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6, thus

$a_{n}$ = 1 + 6(n - 1) = 1 + 6n - 6 = 6n - 5

Tamiku [17]1 year ago

6 0

Answer:

Step-by-step explanation:

t1 = 1 = 6 * 1 - 5

t2 =7 = 6 * 2 - 5

t3 = 13 = 6 * 3 - 5

t4 = 19 = 6*4 - 5

t5 = 25 = 6*5 - 5

-------------------------

Tn = 6n - 5

Hope it helped :)

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Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The

Simora [160]

Answer:

it's d

Step-by-step explanation:

because they can't go over 1128 but they can equal or not

8 0

1 year ago

Mr. Velasquez built a playground. It has one section with a slide and another section with a swing set. A pathway connects the t

posledela

Answer:

$A_1 = 24m^2$ -- Swing set

$A_2 = 16m^2$ -- Slide

$A_3 = 5m^2$ --- Pathway

Step-by-step explanation:

Missing part of the question:

Fill in the table above to show the area of each section (see attachment for table)

The area of each section is calculated as:

$Area = Length * Width$

For the Swing set

$A_1 = 8m * 3m$

$A_1 = 24m^2$

For the Slide

$A_2 = 8m * 2m$

$A_2 = 16m^2$

For the Pathway

$A_3 = 5m * 1m$

$A_3 = 5m^2$

The total area is:

$Area=A_1 + A_2 + A_3$

$Area = 24m^2 + 16m^2 + 5m^2$

$Area = 45m^2$

4 0

1 year ago

A) The sum of −3x+5 and 7−4x is subtracted from 5x+17.

AlekseyPX

A. -3x+5+7-4x
-3x-4x+5+7
-7x+12

-7x+12-5x+17
-7x-5x+12+17
-12x+29

B. -5*(x+2)= -5x-10
-6x-1+ (-5x-10)= -6x-5x-1-10=
-11x-11

8 0

1 year ago

There are 1800 gym members in total. 3 4 are aged 25 - 59 years, 1 5 are over 60 years and the remainder are under 25 years. How

fomenos

There are 1751 members under the age of 25.

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1 year ago

A metal alloy is a metal made by blending 2 or more types of metal. A jeweler has supplies of two metal alloys. On alloy is 30%

tensa zangetsu [6.8K]

Answer:

He should combine 1 kg of 30% alloy and 3 kg of 10% alloy.

Step-by-step explanation:

Let x = mass of 30% ally.

Let y = mass of 10% alloy.

He needs 4 kg of alloy, so the first equation, dealing with masses, is

x + y = 4

Now we deal with the amount of gold.

He uses x mass of 30% gold alloy. The amount of gold in that mass is 0.3x.

He uses y mass of 10% gold alloy. The amount of gold in that mass is 0.1y.

The total mass of gold is 0.3x + 0.1y. We are told the told the end alloy is 4 kg of 15% gold alloy. That contains 0.15(4) kg = 0.6 kg of gold.

The second equation is

0.3x + 0.1y = 0.6

Now we put together the two equations as a system of equations.

x + y = 4

0.3x + 0.1y = 0.6

Multiply both sides of the second equation by -10.

-3x - y = -6

Add this equation to the first original equation.

x + y = 4

+ -3x - y = -6

---------------------

-2x = -2

x = 1

Now substitute x = 1 in the first original equation and solve for y.

x + y = 4

y = 3

Answer: He should combine 1 kg of 30% alloy and 3 kg of 10% alloy.

6 0

2 years ago