1. Given a sequence is defined by the explicit definition tn=n^2+n, find the 4th term of the sequence. (ie t4)A) 4
B) 8
C) 20
D) 1806

2. Given the sequence is defined by the explicit definition tn=2^n-n, find the 5th term of the sequence. (ie t5)
A) 5
B) 10
C) 27
D) 32

Answers

Answer 1
Answer:

Answer:

1 C) 20,

2 C)  27,

The sequence is 3,5,9,17,33

Answer 2
Answer:

Answer:

20,

27,

3,5,9,17,33

Step-by-step explanation:


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Ben wants to have his birthday at the bowling alley with a few of his friends but he can spend no more than $80 the bowling alley charges a flat fee of $45 for a private party and $5.50 per person for those rentals and unlimited bowling

Jose sneezes 8 times for every 5 burps. At this rate, how many burps will Jose do for 72 sneezes

Answers

45 times.
(72)/(8)=9
9*5=45

1. Renting a bicycle costs $30 for the first day and $10 for each additional day.a. Write an equation in simplified form to find the total cost C for a bike rental ithe number of days d it was rented.b. Find the cost of renting a bike for 5 days.Answer:

Answers

Part a:  30+10d  That is your equation.  30 for the start and 10 more for each additional day.
Part b:  So there are 4 additional days. Let's fill in the equation and solve.
30+10*4
30+40
$70
The answer is $70

the powers of 2 that are in the range 2  through 1,000 are 2,4,8,16,32,64,128,256,&512 .what does that  mean and it said find all the powers of 3 that are in range 3 through 1,000 

 

 

im so confused 

 

Answers

Answer:

  • the powers of 2 that are in the range 2  through 1,000 are 2,4,8,16,32,64,128,256,&512.

" This means that we are asked to find the value of 2^n for each n belonging to natural numbers.

Now we will stop our approximation when the value exceeds 1000.

i.e. the range is from 2-1000 ".

since the next number after 512 is 512×2=1024 which exceeds 1000. hence our successive approximation will stop at 512.

  • similarly for the powers of 3 i.e. 3^n

We will start writing our approximation and stop when it will exceed 1000.

i.e. 3, 3^2=9,3^3=27,3^4=81,3^5=243,3^6=729

i.e. the sequence is: 3,9,27,81,243,729.

We stopped at 729 because the next number in the series would be:

3^7=2187

which exceeds 1000.






It means you need to find every power of 3 that are in the range of 3-1000 - the power is the number that says how many times you multiply the original number by itself
So 3 to the 1st power is 3 = 3
3 to the 2nd power is 3X3 = 9
3 to the 3rd power is 3X3X3 = 27
And so on... Hope I helped!

To start her collection of comic books, Joylin’s uncle gives her a box of comic books and several monthly subscriptions to comic books. the number of comic books in her collection, y, after x months is modeled by the equation shown: y=40+6x. What does the number 40 represent?

Answers

40 would represent the starting number of comics.

Final answer:

In the equation y=40+6x, 40 represents the initial number of comic books in Joylin's collection, given to her by her uncle. Over time, she gains additional comic books from monthly subscriptions.

Explanation:

In the provided equation, y=40+6x, the number 40 represents the initial amount of comic books Joylin has before the monthly subscriptions start. This is essentially the number of comic books Joylin's uncle gave her to start her collection. The number 6 represents the number of books she receives monthly from the subscriptions. Therefore, 'x' months after receiving the initial batch of comic books, Joylin has 40 + 6x comic books in her collection.

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When is a rhombus a rectangle?

Answers

A rhombus is a rectangle when all its angles are right angles.

What is a rectangle?

A rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

Given is a rhombus.

A rhombus is a rectangle when all its angles are right angles. Due to this, the tilt of the vertical sides of rhombus will become 0 degrees.

Therefore, a rhombus is a rectangle when all its angles are right angles.

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Answer: D

Step-by-step explanation:

They are rectangles when the sides are 90 degrees. :)

Megan rounded 366,458 to 370,000. To which place did Megan round the number?

Answers

Megan round the number in ten thousand place.

What is rounding off?

Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Given that;

Megan rounded number 366,458 to 370,000.

Now,

Since, We know that;

When we round the number in ten thousand place then we look at the position of thousand. If the number is greater than 5 then we add 1 in ten thousand place and if the number is less than 5 then we can not do anything.

So, Megan round the number in ten thousand place.

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Megan had rounded the thousands place.