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Posted: **Mon Jul 11, 2022 12:48 pm**

: 2 5 3 Prove The Following Identities 1 2 2 2 3 2 N 2 1 1 2 3 1 3 9 27 32 1 2 5 4 Prove By Induction 1 (27.5 KiB) Viewed 19 times

2.5.3 Prove the following identities: 1.2⁰ +2.2¹ +3.2²+. + n.2¹-1 1³ +2³ +3³ + 1+3+9+27 + +32-1 2.5.4 Prove by induction on n that (a) n² - 1 is a multiple of 4 if n is odd, (b) n³ - n a multiple of 6 for every n. = 3 ·+n³. = (n − 1)2" + 1. n² (n + 1)² 3″ 2