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

A submarine sandwich 1.5feet long is cut into 0.25 foot pieces. how many pieces will there be?

MA_775_DIABLO [31]

There would be 6 pieces.

6 0

2 years ago

Read 2 more answers

Pls explain ur answer

Nikolay [14]

Answer:

meters

the meter is the largest unit of measurement of distance. If the meter is used, the bar chart would be more compact and the all the distances would be well represented on the bar chart

Step-by-step explanation:

3 0

2 years ago

Simplify using order of operations.Show all your work. 4^3 + (`10-8) divided by 2

Igoryamba

Answer:

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

------------------------------------------------------------------------

$4^3+(10-8)\div2=64+2\div2=64+1=65$

3 0

2 years ago

BaLLatris [955]

<h3>Answer:</h3>

x=30

<h3>Solution:</h3>

First, use the distributive property:
8x-3(2x-4)=3(x-6)
8x-6x+12=3x-18
Simplify:
2x+12=3x-18
2x-3x=-12-18
-x=-30
x=30

Hope it helps.

Do comment if you have any query.

8 0

1 year ago

Yay! tysm guys for helping me on this test! i got a 85! :)

irakobra [83]

Answer:

Proud of you!! <3 :)

Step-by-step explanation:

8 0

2 years ago

1!+2(2!)+3(3!)+...+n(n!)=(n+1)!-1​

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