You are asked to prove that 12 + 22 + 32 +...+n? n(n+1)(2n+1) using the Principle of Mathematical Induction. What is the correct basis step? 1(1+1)(2-1+1) O 12 = 1 = 123 || 6. O 12 + 22 = 1 + 4 = 5 = 2-3-5 6 2(2+1)(2-2+1) 6. O 12 + 22 + 3? +...+ k² = k(k+1)(2k+1) O 12 + 22 + 3² = 1+4+9 = 14 = 3(3+1)(2-3+1) 3-4-7 |3D 6 6.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
Question
You are asked to prove that
12 + 22 + 32 +...+ n²
n(n+1)(2n+1)
6
using the Principle of Mathematical Induction. What is the correct basis step?
O 12 = 1 = 123
1(1+1)(2-1+1)
%3D
6.
2(2+1)(2-2+1)
O 12 + 22 = 1 +4 = 5 =
2-3-5
6.
O 12 + 22 + 3² +...+ k²
k(k+1)(2k+1)
%3D
6.
3(3+1)(2-3+1)
O 12 + 22 + 3² = 1+4+9 = 14 = 3:4:7
6
%3D
6
Transcribed Image Text:You are asked to prove that 12 + 22 + 32 +...+ n² n(n+1)(2n+1) 6 using the Principle of Mathematical Induction. What is the correct basis step? O 12 = 1 = 123 1(1+1)(2-1+1) %3D 6. 2(2+1)(2-2+1) O 12 + 22 = 1 +4 = 5 = 2-3-5 6. O 12 + 22 + 3² +...+ k² k(k+1)(2k+1) %3D 6. 3(3+1)(2-3+1) O 12 + 22 + 3² = 1+4+9 = 14 = 3:4:7 6 %3D 6
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning