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Elan Coil [88]
3 years ago
12

What is the nth term of the quadratic sequence 3 11 24 45

Mathematics
1 answer:
Anna71 [15]3 years ago
3 0

9514 1404 393

Answer:

  a_n=\dfrac{1}{2}n^3-\dfrac{1}{2}n^2+6n-3

Step-by-step explanation:

The first differences are 8, 13, 21. The second differences are 5, 8. The second differences are not constant, so this is <em>not a quadratic sequence</em>.

If we assume it is a cubic sequence, a calculator tells us the formula is ...

  a_n=\dfrac{1}{2}n^3-\dfrac{1}{2}n^2+6n-3

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I will give brainleist if you answer all of them (or explain how to do it) &lt;3
maks197457 [2]

Answer: look at explanation

Step-by-step explanation: add the amount it will take for each value to transform into what you want these values to add are online

8 0
2 years ago
NASA launched another space probe, Voyager 2 on August 20, 1977. Voyager 2 is a bit slower than Voyager 1 only traveling 15.4 km
slava [35]

Using proportions, it is found that it will take Voyager 2 82,900 years from its location to travel to the second closest star.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, the Voyager 2 travels 15.4 km/s. In kilometers per year, considering that one hour has 3600 seconds, the measure is given by:

15.4 x 365 x 24 x 3600 = 485,654,400 km/year.

The distance to Proxima Centauri in km is given by:

d = |1.93 x 10^10 km - 4.24 x 9.5 x 10^12 km| = 4.02607 x 10^13 km.

Hence the time in years is given by:

t = d/v =  4.02607 x 10^13/485,654,400 = 82,900.

It will take Voyager 2 82,900 years from its location to travel to the second closest star.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

6 0
2 years ago
When money loses some of its value over time, it is caused by
ipn [44]

Answer:

D: Inflation

money loses value over time because there may be new laws or regulations that will make the value change i think thats part of it but it is D

5 0
2 years ago
Yertle the turtle and his 362 turtle buddies went swimming in 3 different ponds. if the same number of turtles swim in each pond
konstantin123 [22]
There are 363 turtles (including yertle) 
there are 3 different ponds and the same # in each pond. you simply divide the number of turtles by 3 because there are 3 different ponds. 

363/3=121 
there 121 turtles in each pond 
8 0
3 years ago
The steps to solve it
pashok25 [27]
6(2k-3) is the answer to this problem.
make a distributive
take the 6 out of the equation and u have remaining 2k-3. 6(2k-3)
6 0
3 years ago
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