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Zina [86]
3 years ago
14

Sum of n terms 1x2+2x3+3x4+4x5+...

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

1/3(n+1)³

Step-by-step explanation:

1x2+2x3+3x4+4x5+...= 1²+1+2²+2+3²+3+...+n²+n+1=

=(1²+2²+3²+...+n²)+(1+2+3+...+n+1)=

=1/6n(n+1)(2n+1)+1/2(n+1)(1+n+1)=

=1/6(n+1)(n(2n+1)+3(n+2))=

=1/6(n+1)(2n²+4n+2)=

=1/6(n+1)*2(n+1)²=

=1/3(n+1)³

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Answer:

y=-1/3x-1

Step-by-step explanation:

1. Find the slope.

Start from the point on the y-axis and count down and over until you get to the other point marked on the graph. This gets you -1/3

Slope is -1/3

2. Find where the line crosses the y-axis. This is the y-intercept. On this graph, the line crosses the y-axis at (0,-1). The y-value is the intercept.

3. Put the equation in slope-intercept form. Slope intercept form is y=mx+b with mx being the slope and b being the y-intercept.

y=-1/3x-1

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What is the slope, point, x-intercept, and y-intercept?
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X-int =(-3,0)
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Pls, I need help. Whoever gets it right gets the brainliest.
vitfil [10]

There can be 18, 12, 9, 6, 4 , 3 or 2 students on each team depending on the number of teams selected.

<h3>How to know the number of students on each team?</h3>

Considering there are at least 2 teams but no more than 19 teams, let's calculate the number of students in each case:

  • 2 teams:  18 students per team (36/2 = 18)
  • 3 teams: 12 students per team (36/3 =12)
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  • 6 teams: 6 students per team (36/6 = 6)
  • 9 teams: 4 students per team (36/9 = 4)
  • 12 teams: 3 students per team (36/12= 3)
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Learn more about teams in: brainly.com/question/10750297

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2 years ago
The cost of a square meter to cover a circular pool is $2.50. How much would it cost to cover the area of a pool that has a diam
77julia77 [94]

Answer:multiply 2.50 by 25 I think

Step-by-step explanation:

6 0
3 years ago
Circle O has a circumference of approximately 44 in.
nevsk [136]

Answer:

14 in

Step-by-step explanation:

Given:

Circumference of circle = 44 in

Required:

The length of the diameter of the circle.

SOLUTION:

Circumference of circle = πd

Circumference = 44 in

π = 3.14

d = ?

Plug the values into the formula

44 = 3.14*d

Divide both sides by 3.14

44/3.14 = d

14.01 = d

d ≈ 14 in

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3 years ago
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