given in Exercises ain ty Exercises 10.4 Exer: 1-26: Prove that the statement is true for every posi- tive integer n. n(

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Given In Exercises Ain Ty Exercises 10 4 Exer 1 26 Prove That The Statement Is True For Every Posi Tive Integer N N 1 (34.85 KiB) Viewed 24 times

given in Exercises ain ty Exercises 10.4 Exer: 1-26: Prove that the statement is true for every posi- tive integer n. n(n + 1) 1 2 + 4 + 6+ ... + 2n = n(3n - 1) 21 + 4 + 7 + ... + (3n - 2) 2 31+3+5+ ... + (2n – 1) = n2 4 3 + 9 + 15 + 6 2 + 6 + 18+ + (n − 3) = 3n2 52 + 7 + 12 + ... + (5n – 3) = {n(sn – 5n - 1) + 2.3"-1 = 3" - 1 71 + 2.2 + 3.22 + ... + n. 2"-1 = 1 + (n - 1). 2" (-1)" – 1 8 (-1)' + (-1)2 + (-1) + ... + (-1)" = 2. n(n + 1) (2n + 1) 6 9 1 + 2 + 32 + ... + n2 = 10 1 + 2 + 33 + ... + n = = n(n + 1) 2