Use inductive reasoning to predict the next number in the list and write your conjecture.

Next Number Please! Use inductive reasoning to predict the next number in the list and choose a proper conjecture. 1, 4, 9, 16, 25, 36, 49, ___

The Collatz Conjecture, also known as the 3n + 1 problem, is a conjecture in number theory, first proposed by Lothar Collatz in 1937. The conjecture is as follows:Start with any positive integer 𝑛n. If 𝑛n is even, divide it by 2. If 𝑛n is odd, triple it and add 1. Repeat this process indefinitely. The conjecture states that no matter what value of 𝑛n you start with, you will always eventually reach the cycle 4,2,14,2,1.For example, starting with 𝑛=7n=7, the sequence is 7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,17,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1.The Collatz Conjecture remains unproven, despite extensive computational verification for extremely large numbers. It is considered one of the most perplexing and enduring unsolved problems in mathematics. So, if you're up for a real challenge, attempting to prove or disprove the Collatz Conjecture could be an exciting purs

Predict the next term in the sequence.1, 14, 51, 124, 245, 426, ...*1 point679678

Look at this series: 36, 34, 30, 28, 24, ... What number should come next?20222326

Choose the list that shows consecutive odd numbers.Answer:2 923;2 924;2 925;2 926...2 923;2 924;2 925;2 926...2 993;2 995;2 999;3 001...2 993;2 995;2 999;3 001...2 731;2 733;2 735;2 737...2 731;2 733;2 735;2 737...1;2;3;4...1;2;3;4...Choose the list that shows consecutive perfect squares.Answer:2;4;8;16...2;4;8;16...100;121;144;169...100;121;144;169...64;81;121;144...64;81;121;144...1 000;1 331;1 728;2 197...