2,6,7,37,254

2022-05-29 0 By

The rule for 2,6,7,37,254 is that the product of two adjacent numbers minus 5 equals the latter term.The first term 2 times the second term 6 is 12,12 minus 5 is the third term 7;The second term times the third term is 6 times 7 is 42,42 minus 5 is the fourth term 37;The third term 7 times the fourth term 37 is 259,259 minus 5 is the fifth term 254.Array rule exploration method given a group of numbers, ask from this group of numbers, find out the rule between them.In view of this kind of topic, the main solution method is: 1, observation: learn to observe, know how to observe.First, observe whether there is a relationship between two adjacent numbers, then observe whether there is a relationship between the interval numbers, and finally observe whether there is a relationship between the smaller number and the larger number.2, thinking: to be good at thinking, know the direction of thinking.Think in terms of multiples, sums, squares, products, or quotient relationships between numbers.3. Practice: Practice.This kind of topic as long as more practice, active thinking, forming a habit of thinking, develop sensitivity to numbers, solving the problem is much easier.4, summary: good at summary.After finishing a problem, we should be good at summing up the rules and finding a general method to solve the problem.For example, find the pattern of 2,6,7,37,254.If we look carefully, it’s not hard to see that the two adjacent terms have some relationship with the latter term;According to the relatively large gap between terms and terms, determine the direction of thinking should be the product relationship.After calculation and verification, it can be found that the rule of this set of numbers is the product of two adjacent terms minus 5 to get the latter term.Summary of rules Based on the above analysis and calculation, we can summarize the general formula for each item of this set of numbers.Assuming n is the number of terms, the general formula for this set of numbers is (=2,=6,n is greater than or equal to 1).