Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
1.5k views
in Combinatorics and Mathematical Induction by (49.1k points)
closed by

By the principle of mathematical induction, prove that, for n ≥ 1

13 + 23 + 33 + ... + n3 = (n(n + 1)/2)2

1 Answer

+1 vote
by (46.9k points)
selected by
 
Best answer

∴ P(k+ 1) is true. 

Thus P(K) is true ⇒ (k + 1) is true. 

Hence by principle of mathematical induction, P(n) is true for all n ∈ N

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...