Question
Use the principle of mathematical induction to show that 1+3+5+ -------- + (2n -1) = n2 for each n∈N.
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 LHS = RHS → 1 = 1. So, the base ________ ____ __________ ______ __________ _________ ___ ____ ________ ____ _______ ________.
______ ____ _____ _______ ________ __________.
________ ______ ______ __________ ______ _________ ____ _____ ___ ______ _____ ______.
____ _____ ____ _____ _________ _________ ________ __________ _________ ___ _______.
_______ _________ __________ _______ ________ _________ _____ _______.
_____ _____ ___ ________ ____.
______ __________ _______ _________ _____ _________ _______ _____ __________.
____ _________ _______ _____ _______ __________ ____ ______ ________ _______.
_________ ________ ____ ___ _______ _____ ____ ________ ______ _______ _______ ______.
________ ____ _____ __________ _______ ___ ____ _______ ____ _______ ________.
________ ____ _______ ____ __________ _________ ____ _______.
__________ ____ __________ __________ __________ __________ ___ ____ ____ _______ ________ ___.
________ ___ _____ __________ ___ _________ _______ ______ _______ _________.
___ ________ ________ ____ ___ __________ _______ _______ ____ ______ ____ _____.
______ _________ ____ ____ ________ __________.
________ ________ __________ _________ _______ ____ ___ __________ __________.
___ _______ ________ _____ ____ _____ _____ ________ _______.
Get Full Answer on WhatsApp
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 LHS = RHS → 1 = 1. So, the base ________ ____ __________ ______ __________ _________ ___ ____ ________ ____ _______ ________.
______ ____ _____ _______ ________ __________.
________ ______ ______ __________ ______ _________ ____ _____ ___ ______ _____ ______.
____ _____ ____ _____ _________ _________ ________ __________ _________ ___ _______.
_______ _________ __________ _______ ________ _________ _____ _______.
_____ _____ ___ ________ ____.
______ __________ _______ _________ _____ _________ _______ _____ __________.
____ _________ _______ _____ _______ __________ ____ ______ ________ _______.
_________ ________ ____ ___ _______ _____ ____ ________ ______ _______ _______ ______.
________ ____ _____ __________ _______ ___ ____ _______ ____ _______ ________.
________ ____ _______ ____ __________ _________ ____ _______.
__________ ____ __________ __________ __________ __________ ___ ____ ____ _______ ________ ___.
________ ___ _____ __________ ___ _________ _______ ______ _______ _________.
___ ________ ________ ____ ___ __________ _______ _______ ____ ______ ____ _____.
______ _________ ____ ____ ________ __________.
________ ________ __________ _________ _______ ____ ___ __________ __________.
___ _______ ________ _____ ____ _____ _____ ________ _______.
Get Full Answer on WhatsApp
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★