This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the completed number patterns and their rules: 1) Copy and complete the number patterns: a) 1, 5, 9, 13, 17, 21, 25 The pattern is to add 4 to the previous term. 9+4=13 17+4=21 b) 3, 7, 11, 15, 19, 23, 27 The pattern is to add 4 to the previous term. 15+4=19 19+4=23 23+4=27 c) 1, 4, 9, 16, 25, 36, 49, 64 The pattern is the sequence of perfect squares (n^2). 1^2=1, 2^2=4, 3^2=9, 4^2=16, 5^2=25 6^2=36 7^2=49 8^2=64 d) 2, 4, 8, 16, 32, 64, 128, 256 The pattern is to multiply the previous term by 2. 32 × 2=64 64 × 2=128 128 × 2=256 2) Copy and complete, write down the rule: a) 9, 16, 25, 36, 49, 64, 81 Rule = Square consecutive integers starting from 3.* 3^2=9, 4^2=16, 5^2=25 6^2=36 7^2=49 8^2=64 9^2=81 b) 21, 23, 25, 27, 29, 31, 33 Rule = Add 2 to the previous term.* 23+2=25 25+2=27 29+2=31 31+2=33 Send me the next one 📸