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3 years ago

The first five terms of a sequence are 2, 5/3, 3/2, 7/5 and 4/3. what is the explicit formula?

Mathematics

1 answer:

katen-ka-za [31]3 years ago

4 0

Answer:

an = (n+3)/(n+1)

Step-by-step explanation:

The sequence can be written as ...

4/2, 5/3, 6/4, 7/5, 8/6, ...

where the first numerator is n+3 and the first denominator is n+1. Each numerator and denominator increase by 1 from term to term, so the explicit formula can be written

an = (n+3)/(n+1)

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A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the e

Alona [7]

In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.

The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.

Then the point has a linear speed of

(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s

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3 years ago

The time between failures of a machine has an exponential distribution with parameter l. Suppose that the prior distribution for

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4 years ago

A cone has a base with a radius of 9 mm and a height of 13 mm. What is the volume of the cone?

avanturin [10]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a cone with base radius 9mm and height 13 mm

To calculate - volume of the cone

We know that ,

$Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h \\$

substituting the values in the formula ,

$Volume = \frac{1}{3} \times 3.14 \times 9 \times 9 \times 13 \\ \\ \implies \: 1.05 \times 81 \times 13 \\ \\ \implies \: 1105.65 \: mm {}^{3}$

hope helpful ~

7 0

2 years ago

3xy+x=y-6 how do I solve for y in this?

Tanzania [10]

Answer:

x=y-6/3y+1

Step-by-step explanation:

3xy+x=y−6

Step 1: Factor out variable x.

x(3y+1)=y−6

Step 2: Divide both sides by 3y+1.

x(3y+1)

3y+1

y−6

3y+1

7 0

3 years ago

The poetry section of the library has 6 bookcases. Each bookcase has 3 shelves. There are 10 books on each shelf. How many total

torisob [31]

Answer: total books = 180

Step-by-step explanation:

Given: Poetry section of the library has 6 bookcases.

Number of shelves in each bookcase = 3

Total shelves = (Number of shelves in each bookcase) x (Number of bookcases in each poetry section)

= 3 x 6

= 18

Number of books in each shelf = 10

Total books = (number of shelves) x 10

= 18 x 10

= 180

hence, total books in the poetry section= 180

5 0

3 years ago