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FACULTY OF EDUCATION

This study focuses on finding formulas for number sequences, generalizing patterns, and exploring mathematical concepts in education. It delves into various mathematical sequences and aims to enhance educational strategies by uncovering patterns and formulas for sequence progression to benefit both educators and students.

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FACULTY OF EDUCATION

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  1. FACULTY OF EDUCATION The University of Auckland New Zeala1and

  2. Tukutuku Tapatoru + 2T3 = 3 x 4

  3. + n(n + 1) 2 Finding a Formula for Tn 2T4 = ? x ? = 4 x 5 Tn =

  4. + Tapatoru S4 = T? + T? = T3 + T4

  5. + S5 = T?+ T? Generalise: Sn = T? + T? = Tn-1 + Tn

  6. Patiki

  7. P4 = T? + 2T? +T? = T4 + 2T3 +T2 = T? + 2T? +T? = Tn+ 2Tn-1 +Tn-2 Pn

  8. Pn = Pn = S? +S? Patiki Again S3 S4 P4 = Sn+ Sn-1

  9. Cross 4T2 + number in cross P4 = Pn = 4Tn-2 + 4n - 3

  10. Rotate S? + S? = S3 + S4 Sn-1 + Sn Rotate P4 = Pn =

  11. P4 = Pn = S7 S? - 4T? - 4T? Surrounding = S2n-1 - 4Tn-1

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