johndoe10101 johndoe10101
  • 02-10-2018
  • Mathematics
contestada

Use mathematical induction to prove the statement is true for all positive integers n. 8 + 16 + 24 + ... + 8n = 4n(n + 1)

Respuesta :

Keneke
Keneke Keneke
  • 02-10-2018

8++16+...+8n = 4n(n+1)

and, using regular Algebra, you can change it into the formula for (n+1):

8++16+...+8n+8(n+1) = 4(n+1)((n+1)+1)

Answer Link

Otras preguntas

In North Africa and Southwest Asia,______is the dominant language;________is the dominant religion; and_______are the dominant ethnic group.
these two boxes have the same volume
In 1972, walter mischel, a professor at stanford university, conducted an experiment in which he offered young children a marshmallow to eat now—or three marshm
How many railroads contribute to urban growth during the second industrial revolution
How did colonization affect the lives of people in Southeast Asia?
What do governments do to global markets when they provide subsides?
Threonine, an amino acid whose pI is 5.6, is shown below. What would be the overall charge for threonine at a pH of 5.6?
What disease left FDR's legs paralyzed? A. malaria B. influenza C. diabetes D. polio
what is the perimeter of a rectangle that is 3 and 1/2 yards by 5 & a half yards
HELP ASAP!!!!!Greg is in a bike race. At mile marker four (out of ten), his speed was measured at 13.5 mph. Which best describes the measured number? A)It is t