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人教A版必修5教材中写道:“数列可以看成以正整数集N*(或它的有限子集{1,2,…,n})为定义域的函数an=f(n)当自变量按照从小到大的顺序依次取值时所对应的一列函数值。”从这个意义上看,它丰富了学生所接触的函数概念的范围。在解决数列问题时,充分利用函数的有关知识,架起函数与数列之间的桥梁,揭示它们之间的内在联系,能使数列问题的求解更有新意和综合性,达到有效培养学生思维品质和创新意识的目的。一、函数定义在数列中的应
People teach A version of compulsory 5 textbooks wrote: “sequence can be seen as a set of positive integers N * (or its finite subset {1,2, ..., n}) as a domain function an = f (n ) A list of function values that corresponds to the arguments in ascending order of their arguments. ”" In this sense, it enriches the scope of the concept of functions to which students come into contact. When solving the series of questions, making full use of the relevant knowledge of the function, setting up a bridge between the function and the series, and revealing the internal relations between them, can make the solution of the series of problems more innovative and comprehensive, so as to effectively cultivate the students’ thinking quality And the purpose of innovative awareness. First, the function definition in the series should be