The following formulas are given: 32-12 = 8 = 8 × 1, 52-32 = 16 = 8 × 2, 72-52 = 24 = 8 × 3, 92-72 = 32 = 8 × 4 If you look at the above series of formulas, what rules can you find? Express this rule with algebraic formula

The following formulas are given: 32-12 = 8 = 8 × 1, 52-32 = 16 = 8 × 2, 72-52 = 24 = 8 × 3, 92-72 = 32 = 8 × 4 If you look at the above series of formulas, what rules can you find? Express this rule with algebraic formula

According to the analysis: (2n + 1) 2 - (2n-1) 2 = 8 × n