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

Can you give me an equation that equals to 31

lys-0071 [83]

There are m any examples of equations that equal 31. Here are a few:
17 + 14
30 + 1
60 - 29

I like this one though (its 2 step)

(15 x 2) + 1

Hope this helped :)

7 0

3 years ago

Read 2 more answers

So what is a dilation and how will it effect the image and the preimage(i have 8th grade math).

Gennadij [26K]

Answer:

In geometry, a transformation is an operation that moves, ﬂips, or changes a shape to create a new shape. A dilation is a type of transformation that enlarges or reduces a ﬁgure (called the preimage) to create a new ﬁgure (called the image).

Step-by-step explanation:

6 0

3 years ago

Kendall's brother, Arnold bought a plate at this store, and he also payed 3% in sales tax. Arnold paid a total of 0.72 in sales

almond37 [142]

Im really not sure what the exact answer is

4 0

2 years ago

Change a Relation to Make It a Function The relation R is shown below as a list of ordered pairs. R = { (1, 4), (1, 3), (-1, 3),

nexus9112 [7]

Answer: (1,4) and (1,3) because the have the same x-value

Step-by-step explanation:

A function is defined so that for each input (known as the domain), there is no more than one output (known as the range).

8 0

1 year ago

A flagpole casts a shadow of 30 ft. A boy standing next to the flagpole casts a shaow of 9ft. What is the height of the flagpole

morpeh [17]

20 ft because the shadow would be 3/2 of the height. 9 is 3/2 of 6 so the height would be 20 bc 30 is 3/2 of 20

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