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sesenic [268]
3 years ago
15

What is the nth term of the sequence below?

Mathematics
1 answer:
MAXImum [283]3 years ago
7 0

Answer:

  n(n+1)

Step-by-step explanation:

Only the last two formulas work for n=1; only the last formula works for n=2.

<u>For n=1</u>

  3n = 3 ≠ 2

  n² -1 = 0 ≠ 2

  n² +1 = 2

  n(n+1) = 2

<u>For n=2</u>

  n²+1 = 5 ≠ 6

  n(n+1) = 6 . . . . . this last formula works for the given sequence

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<img src="https://tex.z-dn.net/?f=n%5E%7B2%7D%20%2B3n-12%3D6" id="TexFormula1" title="n^{2} +3n-12=6" alt="n^{2} +3n-12=6" align
Natalija [7]

Answer:

Step-by-step explanation:

n² + 3n - 18 = 0

n = [-3 ±√(3²-4(1)(-18)]/[2(1)] = [-3 ±√81]/2 = 3, -6

5 0
3 years ago
The flower box is 5 ft​ long, and its ends are in the shape of a trapezoid. The upper and lower bases of the trapezoid measure 1
Nady [450]

Answer:

7560 in^3

Step-by-step explanation:

Hello! The first thing that we must take into account to solve this problem is that the volume of any solid is equal to the transverse area by the height, in this case we must find the area of ​​the trapezoid and then multiply it by the height

V=AL

V= Volume

A=area

L=height=9in

finding area of trapezoid

A=H\frac{a+b}{2} \\

To know what each variable corresponds to, please see the attached file

A=(60)\frac{10+18}{2}=840in^2

finally multiply the area by the height of the box(9in)

V=AL

V=(840in^2)(9in)=7560in^3

the volume of the flower box is 7560 in^3

6 0
3 years ago
A small business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time perio
Scorpion4ik [409]
Answer:
Rate of change of profit for this period = $2750 / month

Explanation

6 0
3 years ago
What is the answer??
AVprozaik [17]

Answer:

HK = 20

Step-by-step explanation:

LM = (1/2) HK          {Mid point theorem}

10x - 90 = \frac{1}{2}(10x - 80) \\

2*(10x - 90) = 10x - 80

2*10x - 2*90 = 10x - 80

20x - 180     = 10x - 80                   {add 180 to both sides}

           20x  = 10x - 80 + 180

          20x  = 10x +100              {Subtract 10x from both sides from }

     20x -10x = 100

            10x  = 100

                x = 100/10

               x = 10

HK = 10x - 80

     = 10*10 - 80

     = 100 - 80

     = 20

5 0
3 years ago
40% =32/ what is the full fraction
Levart [38]
40% = 32/x

Rewrite using a decimal

.40 = 32 / x

Multiply both sides by x
.40x = 32

Divide both sides by .40
x = 32 / .40
x = 80

Write the full fraction
32/80

Answer 32/80

3 0
3 years ago
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