Use the principle of mathematical induction to show that 1+3+5+ ------

Question

Use the principle of mathematical induction to show that 1+3+5+ -------- + (2n -1) = n² for each n∈N.

13 Sep 2025

Answer :

Word Count : 215

We need to prove by mathematical induction that: 1 + 3 + 5 + … + (2n - 1) = n² for all natural numbers n. Step 1: Base Case (n = 1) Left-hand side (LHS): 1 Right-hand side (RHS): 1² = 1 ____ _______ __________ _____ ______ _______ _____ _________ ___.
________ _____ _____ ______ _______ _________ ________ ___ ____ _____.
__________ _________ __________ __________ ____ ______ _______ ___ ____ _________ ______ __________.
_______ ___ ____ ___ _______ ___ ___.
_______ _____ ____ ______ _________ __________ ________.
_____ ____ ________ _______ ____ ________ _________ _______ ________ ________ ______.
___ ____ ______ _________ __________.
_________ _________ _________ ________ _________ _____ __________ ________ ______ __________.
______ _________ ___ _____ ____.
_______ _________ _____ ______ ___ ____ _________ ___.
__________ ________ ______ ________ ____ _________ ___ ________ ______.
_____ __________ ______ ______ ___.
_____ ________ ______ ___ __________ ________.
_____ ____ __________ ________ ______.
________ _____ ___ _____ ____ ____ ____ ____ _________ ______.
__________ ____ _________ _____ ___ _________ ____ ___ ____.
________ _______ ______ ______ _____.
_____ ____ ______ _______ __________.
________ ____ ___ ________ ______ ___ ___ ______ _________.
_____ _____ ______ _________ ______ _______ _________ _______.
___ _________ ______ _______ ___ ________ _________ ___ ________ ____ ________ ______.
____ ______ ________ ______ __________.
Get Full Answer on WhatsApp

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★