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sveta [45]
3 years ago
10

The first several terms of a sequence { an } are given. Assume that the pattern continues as indicatedand find an explicit formu

la for an .3, 4, 5, 6, 7,
Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

  an = 2 + n

Step-by-step explanation:

The differences between terms are all 1. The first term is 3. The general form of the general term is ...

  an = a1 + d(n -1)

Filling in a1 = 3 and d = 1, we have ...

  an = 3 + n - 1

  an = 2 + n . . . . . . simplify

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owenn goes on a camping trip with his family cabin rentals are $430 for the week, kayak rentals are $7 per hour and paddle board
Hatshy [7]

Answer:

430 + 16h

Step-by-step explanation:

They are staying for a week ($430)

They are renting both a kayak ($7 per hour) and paddle board ($9 per hour), without defining the amount of hours. Create a variable, for example H for hours.

To create the expression, take the $430, the $7 per hour and $9 per hour, or 430 + 16h.

5 0
2 years ago
tank a has 100 gallons of water and is being filled at a rate of 2 gallons per hour. tank b has 140 gallons and is being drained
Artist 52 [7]

Answer:

5 hours must pass

Step-by-step explanation:

Graph the equations y = 2x + 100 and y = -6x + 140

Then find the x intercept of their intersection, in this case, that is 5

5 0
2 years ago
Janae's savings account has $50 on September 19. If she plans to save $5 every day, how much money will Janae have in her saving
Akimi4 [234]

Janae will have $ 95 in her account after 10 days.

<h3>What is an Arithmetic Progression?</h3>

A sequence of numbers that has a fixed common difference between any two consecutive numbers is called an arithmetic progression (A.P.)

Given,

Amount in Janae's account = $ 50

Amount she wishes to save for 10 days = $ 5

This scenario models an arithmetic progression(A.P)

In an A.P,

a _n = a + (n-1)d

where a _n = nth term, a is the first term, n is the no. of terms and d is the common difference.

In this question, a = 50, n = 10, d = 5 and we have to find out a _n

Therefore, a _n = 50 + (10-1)x5

                         = 50 + 45 = 95

Answer:- Janae will have $ 95 in her account after 10 days.

To learn more about arithmetic progression, refer to:

brainly.com/question/24191546

#SPJ10

8 0
11 months ago
Lauren bikes 1 1/3 miles in 1/1/0 hour. What is her rate of speed in miles per hour?
Amanda [17]

speed = distance / time

1 1/3 = 4/3

so

speed = (4/3) / (1/10)

= (4/3) * 10

= 40/3 mph

or 13 1/3 mph

Hope this helps!

3 0
2 years ago
Can you please help me please ​
r-ruslan [8.4K]

Answer:

Scale factor of 2

Hope that helps!

5 0
3 years ago
Read 2 more answers
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