All categories

1 year ago

1!+2(2!)+3(3!)+...+n(n!)=(n+1)!-1

Mathematics

1 answer:

anyanavicka [17]1 year ago

7 0

Step-by-step explanation:

OK, let's assume it this way:

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+...+(n+1)!-n!=(n+1)!-1!=(n+1)!-1

and boom problem solved

You might be interested in

Point C does not lie on line xy. Can point C lie in the same plane as live xy? Explain

uysha [10]

The answer is yes.

A line and a point outside the line define a unique plane. In other words, there is a single plane that contains a line and a point outside the line. If you are given line XY and point C outside the line, there is a single plane containing both line XY and point C. Therefore, line XY and point C must lie in the same plane.

4 0

2 years ago

Need t in degrees not just solve for t

Inessa [10]

An exterior angle is equal to the sum of the two opposite inside angles.

T + 31 = t + t-29

Simplify:

T + 31 = 2t -29

Add 29 to both sides:

T + 60 = 2t

Subtract 1t from both sides:

T = 60

8 0

2 years ago

Jonah cuts a board that is 33 inches long into 4 pieces of equal length. He uses the pieces for the sides of a picture frame. He

Ilya [14]

8. 1 5
4/33.00
32
10
8
20
20
0

8.15+8=10.15

The answer is 10.15 inches long for each frame.

7 0

2 years ago

Question and Answers below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇

Aleks04 [339]

Answer:

72 $yd^{3}$

Step-by-step explanation:

Volume for a triangular prism = $\frac{1}{2}$ a · c · h

A = Height. C = Width. H = Length.

A = 3 yd. C = 8 yd. H = 6 yd.

V = 114 yd.

V = 114 yd ÷ 2 yd = 72 $yd^{3}$ .

5 0

2 years ago

How would you express 325.4 miles on 17.3 gallons as a unit rate

Nikitich [7]

I think the answer is 18.8 Miles/gallons. 325.4 miles / 17.3 gallons = 18.78 miles/gallons, round it to 18.8 miles/gallons.

6 0

2 years ago

1!+2(2!)+3(3!)+...+n(n!)=(n+1)!-1​

1!+2(2!)+3(3!)+...+n(n!)=(n+1)!-1