Tortuous thinking intuitively in solving problem of sequence convergence

This paper describes the process of intuitive thinking in a tortuous way to solve problem of sequence convergence by students Program Study of Mathematics Education, Faculty of Teacher Training and Education of Universitas Lampung. It is said to be tortuous because the student experienced several stuck in solving the problem. This study was conducted on 30 students, and there are 2 students netted as research subjects. Data is obtained from audio visual recording of student's think aloud and interview. The tortuous thinking intuitively can be explained in the following order. Student 1) understands the problem self-evidently and accepts the existing statement in the issue with intrinsic certainty and with overconfidence, 2) plans the problem solving immediately and tends to rush, through trial and error based on primacy effect, 3) carries out the planning in order to get behavior of the sequence's term; however he is stuck. Then the students go back to step 2) plans the problem solving and then continues to step 3). This can last several times. After finding the behavior of the term of sequence, students goes to the next step that is 4) makes extrapolation about solution, and then 5) declares the solution with complete sentence.