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

Kurt Lewin's "calm waters" metaphor sees change as ________.A. an unusual event anB. everyday eventC. unfortunateD. avoidable
the use of e-mail among public officials might violate "open meeting" laws.
Write an explicit formula an the n th term of sequences 19,13,7
Show that each of the following is or is not a regular language. The decimal notation for a number is the number written in the usual way, as a string over the
the life and career of which composer bridged the renaissance and baroque style periods?
what is the most compelling piece of evidence that suggests that the dinosaurs were made extinct by the impact of an asteroid 65 million years ago?
Which of the following is NOT a potential drawback to downsizing? a. reduced payroll costs b. decreasing employee morale c. lower quality d. none of these.
what separates the http headers from the body of the http document
what kinds of information does your customer service team likely need included in each persona?
.Which of the following is not one of the dimensions of entrepreneurial orientation? A. proactiveness B. risk taking C. autonomy D. opportunism