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snow_lady [41]
2 years ago
14

The nth term of a sequence is given by 2n+1.Write down the first four terms of the sequence.​

Mathematics
1 answer:
ale4655 [162]2 years ago
8 0

Answer:

<em>x, 2x+1, 4x+3, 8x+7</em>

Step-by-step explanation:

If we call the first term <em>x</em>, then the subsequent term is <em>2x+1</em>. Then, the next term is <em>2(2x+1)+1=4x+2+1=4x+3</em>. Then, the fourth term is <em>2(4x+3)+1=8x+6+1=8x+7</em>.

As a matter of fact, the <em>n</em>th term is given by 2^{n-1}x+2^{n-1}-1 for starting term <em>x</em>.

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Figures are similar. Find x.
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Answer:

24.3

Step-by-step explanation:

18/20 = x/20 (similar triangles)

8 0
3 years ago
If a car averages 21.8 miles per gallon, how many miles will it travel on 16 gallons of gas?
asambeis [7]

Answer: 348.8 miles on 16 gallons of gas

Step-by-step explanation:

Make the following proportion:

\frac{21.8 miles}{1 gallon} = \frac{x miles}{16 gallons}

Since the car consumes gas at the same rate and only the amount of gas is changed, these two fractions must be equivalent. If the rate at which the car consumes gas changes, it would be different.

Use basic algebraic skills and you should get 348.8 miles.

7 0
2 years ago
Marshall and Peter went to lunch at a cafe. They ordered a spinach salad for $4.15, a tuna sandwich for $6.35, and 2 glasses of
garri49 [273]

Answer:

$1.05

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The amount of money they should pay is 4.15+6.35+2*1.1+1.25 = $13.95

The change is 15-13.95=$1.05

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3 years ago
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Ilia_Sergeevich [38]

Hey there!☺

Answer: (-∞, 5)

Explanation:

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