$30
1) [4 points] Prove that 9 | (4#$ + 8) for every integer � ≥ 0.2) [4 points] Prove that ∑ (8� − 5) $/01 = 4�3 − � for every positive integer n.3) [4 points] Prove that 13 + 23 + 33 + 43 + ⋯ + �3 = $($91)(3$91): for every positiveinteger n.
Starting from: $30