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monitta
3 years ago
5

The first term in this sequence is -1. Write the function that represents the sequence

Mathematics
1 answer:
sattari [20]3 years ago
3 0

Answer:

a_{n} = 2n - 3

Step-by-step explanation:

Note the difference in consecutive terms is constant, that is

1 - (- 1) = 3 - 1 = 5 - 3 = 7 - 5 = 2

This indicates that the terms are an arithmetic sequence with

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 1 and d = 2, thus

a_{n} = - 1 + 2(n - 1) = - 1 + 2n - 2 = 2n - 3

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there are 150 students in the marching band, and 30 of them play the trumpet. Which number line represents the percent of the sr
shepuryov [24]

Answer:

30 is 20% of 150 i.e. 20% of total 150 students in the marching bank play the trumpet.

Step-by-step explanation:

Draw two number lines:

  1. One number line to represent number of students from 0 to 150. For convenience, divide the number line into intervals of 15 so that 30 is also present on the line.
  2. Second number line to represent percentage and divide it in intervals from 1 to 100.

Now, place the other number line just below the other number line and draw a vertical line as shown the attached figure.

We find out that 30 is at 20% of 150.

It means that 20% (30 of total 150) of total 150 students in the marching band, play trumpet.

3 0
3 years ago
How many natural numbers?<br> from 78 to 234<br> how many whole numbers <br> from 24 to 721
Vinil7 [7]

Answer:

<u>158 natural numbers from 78 to 234, and 699 whole numbers from 24 to 721.</u>

Step-by-step explanation:

Natural numbers are positive integers (whole numbers), so all numbers from the range of 78 to 234 would be included, including 78 and 234 itself. That is 158 natural numbers. Whole numbers are numbers without a fraction or decimal, they are integers. So all numbers from 24 to 721 would be included, as well as 24 and 721 itself. That is 699 whole numbers from 24 to 721. Hope this helps.

3 0
3 years ago
Read 2 more answers
Miles is putting a fence around his garden. The total area of the garden is 4,864 square feet. The length of the garden is 152 f
JulsSmile [24]
Since the area of any thing is length time width, we can divide 4864 by 152 to get the width of the garden. This gives us 32. Now we need to add 152 + 152 + 32 + 32 to get our total feet of fencing necessary. This would give us 368 feet of fencing.
3 0
3 years ago
From an 8- foot board, a carpenter sawed off one piece that was 2 3/4 feet long and another piece that was 3 1/2 feet long. How
alexdok [17]

Answer:

1 3/4 or 1.75

Step-by-step explanation:

An easy way to do this is to convert to decimals

1/4 = 0.25

2/4 = 0.5

3/4 = 0.75

Now, for the numbers for this problem.

2 3/4 would be equal to 2.75

3 1/2 would be equal to 3.5

Add those two numbers together and you get 6.25

Subtract that from 8 and you get 1.75 or 1 3/4

3 0
3 years ago
Can somebody help me with this, please?
babunello [35]

Answer:

2/3x

Step-by-step explanation:

This is a simple ax graph. all we need is the slope. the slope is the amount the y goes divided by the amount the x goes. essentially

change in y / change in x

2/3

2/3x

4 0
2 years ago
Read 2 more answers
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