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Prove by induction that 1 1 15 15 + 1 35 35 + ... + = n 2n + 1 for every n > 1 4n2

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Advanced Math Mathematical Induction- Given for 15 n an 35 every nzl Basic step- show siis True Far n=1 LHS: 1 unt-1 Ź 460²1Induct we stee- show Sc is true Set is also true. + L+ 30 IS + 1 (26+0C4R-1) 2+1 Swt Now 35 20+0+0 (2.6*3-1) Śtis +++ + CCDC)Therefore, K+1 +++ 15 35 (2K+1)+1)(2CK+D-1) 20+0+1 1/3 + 1 + 1 +--+ 1 4Ck41) 21 ku 2CK+0+1 SKH is True V n=k+12! that For all

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