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2 years ago

Find the explicit formula for the sequence: 2,5,8,11,14

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

4 0

Step-by-step explanation:

Given sequence is: 2,5,8,11,14

Here first term a = 2

Common Difference d = 3

$\because \: t_n = a +(n-1) d \\ \\ \therefore \: t_n = 2+(n-1) 3 \\ \\ \therefore \: t_n = 2+3n- 3 \\ \\ \huge \purple{ \boxed{\therefore \: t_n = 3n- 1}} \\ is \: the \: required \: explicit \: formula\\$

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A group of 7 friends each received 5/6 of a pound of candy. How much candy did they receive total?

Vedmedyk [2.9K]

Answer:

A group of seven friends each received one-half of a pound ofcandy. How much candy did they receive total?✓

0.5 pounds x 7= 3.5 poundsStep-by-step explanation:

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1 year ago

Finding area of shaded sectors.

tekilochka [14]

Answer:

69.81 sq. m. (rounded to 2 decimal places)

Step-by-step explanation:

The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

$A=\frac{\theta}{360}*\pi r^2$

Where

$\theta$ is the central angle

r is the radius

Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

$\theta = 80$

Also, the radius of the circle shown is 10 meters, so

r = 10

Now, we substitute in formula and find our answer:

$A=\frac{\theta}{360}*\pi r^2\\A=\frac{80}{360}*\pi (10)^2\\A=\frac{2}{9}*100\pi\\A=\frac{200\pi}{9}\\A=69.81$

Thus,

The area of the shaded sector is 69.81 sq. meters.

5 0

2 years ago

Alan is comparing the cost of a fresh lobster dinner at two different restaurants. The first

Pepsi [2]

Good evening ,

Answer:

The weight : 29 pound

Alan would pay for his dinner : $130

Step-by-step explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 14

the cost of the dinner at restaurant 2 is 3x + 43

Now ,we have to solve the equation : 4x + 14 = 3x + 43

4x + 14 = 3x + 43

⇔ x = 43 - 14

⇔ x = 29

In this case Alan would pay the same amount for his dinner at any restaurant:

the price = 4×(29)+14 = 130

= 3×(29)+43 = 130.

4 0

2 years ago

Jacob works as a mechanic at an hourly rate of $36 and earns time and a half for for any overtime. Last week he worked 37 hours

Korvikt [17]

Answer:

1620 which isn't there so I'm probably wrong but maybe c or a

Step-by-step explanation:

all we do is 36(37+8) and first we do 37 plus 8 that's 45 so 45×36

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3 years ago

Alisha asked 120 students what kind of pet they like the most. Exactly 45% of the students said they liked dogs best. What was t

qwelly [4]

The answer would be 54 students liked dogs the best.

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3 years ago