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

The Illiad and The Odyssey help. In the Iliad, why does Andromache praise Achilles, who killed her father? A. Achilles came to her and apologized for killing h
All the following were important abolitionists EXCEPT (A) David Walker (B) Frederick Douglass (C) William Lloyd Garrison (D) Sarah Bagley
AP US History question: Discuss the impact of territorial expansion on national unity between 1800 and 1850.
The official American response to the French Revolution was (A) neutrality (B) financial support only (C) favorable to the aristocracy (D) military and financia
Which battle or event caused the most Japanese casualties
Need help! Why might Brazil have so strongly stressed the growing of coffee in the early 20th century? Brazilian citizens drank more coffee than any other count
What if nitrous oxide gas doesn't work on me?
During diffusion which way do the substances move?
The two main philosophies in state politics are _____. A)liberalism B)rationalism C)materialism D)conservatism
how did the Silk Road influence Chinese culture