dsilvahayd dsilvahayd
  • 04-07-2020
  • Mathematics
contestada

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

Respuesta :

mhanifa
mhanifa mhanifa
  • 04-07-2020

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

Answer Link

Otras preguntas

combine like terms to simplify the expression
Which person serves as the presiding officer over the u.s. house of representatives?
david uses 2/3 yard of cloth to make a bag .which amounts are equivalent to 2/3 yard
Why is a protective apron or lab coat important to use when working with acids?
how do you write y=2x+3 in standard form
Lilah completed the division problem below. 7.84 divided by 2 Select True or False for each statement. A. The first step of the division is to multiply 7.84 and
Rapid increase in spending can cause?
Mr. and Mrs. Dursley, of number four Privet Drive, were proud to say that they were perfectly normal, thank you very much. They were the last people you'd expec
Is this function linear or nonlinear? y=1x
HELP!!!!!!!!!!!!!!!!!!!!!!