3 years ago

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

You might be interested in

• Chandra bought a 2-liter bottle of

frosja888 [35]

Answer:

Step-by-step explanation:

1 liter = 33.8 fl oz

Hence

2 liter = 33.8 * 2 = 67.6 fl oz

Now, we need to determine, how many 8 fl oz glasses can be filled with 67.6 fl oz of juice. For that, we need to divide total amount of juice (in fl oz) by 8. We will get:

$\frac{67.6}{8}=8.45$

So there is enough juice to fill around 8.5 glasses, but we need to know how many FULL GLASSES can be filled, NOT PARTIAL.

Thus, we can say:

8 glasses max can be filled with 2 Liters of juice

Answer choice D is right

3 0

3 years ago

How long is the arc intersected by a StartFraction 2 pi Over 3 EndFraction radian central angle in a circle with radius 7 feet

statuscvo [17]

Answer:

14pi/3 feet

Step-by-step explanation:

none

4 0

3 years ago

if you do this and explain how to do it i will rait you 5 stars and give you a brainlyieist it has to be simplify 2(5+3x)+(x+10)

Paha777 [63]

Answer:

20+7x

Step-by-step explanation:

you'd multiply 2 by 5 and 2 by 3x which will give you 10+ 6x; Then add the others : 2(5+3x)+(x+10) would be 10+6x+x+10 so its 20+7x. .

8 0

3 years ago

Read 2 more answers

Answer this question

Anastaziya [24]

The answer is D
Explanation)
Multiplication identity property is when a factor is multiplied by 1

7 0

2 years ago

What is the slope of the line

Oksi-84 [34.3K]

Answer:

3/2

Step-by-step explanation:

7 0

2 years ago