Algebraic Reasoning & Proof (Foundation)

Interactive macro-enabled MS-Excel spreadsheet. Contents: Prove ab% of ba always equals ba% of ab. Prove an even № times 3 subtract ½ this first № is a multiple of 5. Prove any integer² is 1 greater than the product of those either side. Prove the sum of any 4 consecutive integers is an even number. Prove the product of any 3 consecutive integers is a multiple of 6. Prove the output from a two-stage flowchart is related to the input². Prove the sum of the first n natural numbers is the nᵗʰ triangle №. Prove the sum of the first n square numbers is ⅙n(n + 1)(2n + 1). Prove the sum of the first n cube numbers is (½n(n + 1))². Prove the product of consecutive №s add largest № is a square №. Prove the square of a № ending in 5 always equals 100a(a + 1) + 5². Prove the reversal difference & sum of a 3-digit № abc is constant. Prove the difference between cube’s surface area & all cubes is 24.