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 the story to build a fire what is the main character's name
Domestic cats can begin reproducing as young as six months of age. each female cat can produce two litters per year, containing multiple cats that can also begi
Why is it that humans with an intact corpus callosum can name an object in either hand, read words flashed to either visual field, and solve puzzles with both h
There are (6^4)^2 ⋅ 6^0 pigs on a farm. What is the total number of pigs on the farm?
Explain the effects of exercises on your health-related components of fitness (flexibility, muscular strength and endurance, cardiovascular, and body compositio
Using 5 letters followed by 2 ​digits, how many passwords are​ possible?
No religious leader could follow Muhammad, so political authority rested in the position of the:A. ulamaB. caliphC. haijD. sultan
Which source would be used to learn to pronounce a word? a. Thesaurus b. Dictionary c. Almanac d. Encyclopedia
-Was the outcome of the Cuban Missile Crisis beneficial for the Soviet Union and the Americans?
1. An online bank statement reads as follows: Account balance: $986.2 Car payment: $203.3 Gas bill: $96.67 Check deposit: $1289.6 Cash deposit: $