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vredina [299]
3 years ago
5

What is the 20th term of the linear sequence below?

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

Answer:

plz like and rate

Step-by-step explanation:

Find the nth term of this number sequence.

2 8 14 20 26

Again write the numbers 1 to 5 above the numbers in the sequence, and leave a spare line again.

n 1 2 3 4 5 (1st row)

(2nd row)

2 8 14 20 26 (3rd row)

Since the sequence is going up by 6, write down your multiples of 6 on the 2nd row.

n 1 2 3 4 5 (1st row)

6n 6 12 18 24 30 (2nd row)

2 8 14 20 26 (3rd row)

Now, to get the numbers in the 3rd row from the 2nd row take off 4.

So, to get from the position numbers (n) to the numbers in the sequence you have to times the position numbers by 6 and take off 4.

Therefore, the nth term = 6n – 4

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Muriel wants to buy a gallon of milk. If e 1-gallon jug costs $3.95 and a pint costs $0.55, how much money would Muriel save by
gavmur [86]

First, you want to find out how many pints are in a gallon, which are 8.

So, 8 x .55 = 4.40

Muriel would save $0.45 by buying 1 gallon instead of multiple pints.

3 0
3 years ago
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Solve for m.<br><br> 3.6m=14.4
Mamont248 [21]

Answer:

4

Step-by-step explanation:

3.6m = 14.4

m = 14.4 ÷ 3.6

m = 4

6 0
3 years ago
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Find the generating function for the sequence 1,-2,4,-8, 16, ...
kirill [66]

Answer:

  a(x)=\dfrac{1}{1+2x}

Step-by-step explanation:

The generating function a(x) produces a power series ...

  a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

  a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}

This can be rearranged to ...

  a_n+2a_{n-1}=0

We can formulate this in terms of a(x) as follows, then solve for a(x).

\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}

The generating function is ...

  a(x) = 1/(1+2x)

3 0
2 years ago
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Please help this is due tomorrow ​
stellarik [79]

Answer:

Temperature is the measure of hotness or coldness expressed in terms of any of several scales. An example  would be "The cup of beans are boiling hot and has a temperature of 100 °C, whereas the water in the tub is just comfortably warm, with a temperature of about 38 °C. Although the water in the tub has a much lower temperature, it has greater thermal energy".

Step-by-step explanation:

5 0
2 years ago
Round to the nearest thousand, 5870
andrew11 [14]

Answer: 5870 rounded to the nearest thousand is 6000

Step-by-step explanation:

Remember, when we round we have to be careful with the place value they are asking you to round to. Here, they want you to round to the thousands place. So, you have to look at the hundreds.

5870. 800 is the hundreds, and it is greater than “5”. So, you round to the next thousands. It happens to be 6000.

<em>Hence, 5870 rounded is 6000.</em>

4 0
2 years ago
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