Pattern Recognition and General Terms

Complete the next two terms: 2, 6, 12, 20, ___, ___

Determine whether the following pattern is quadratic: 1, 4, 7, 10, 13

Identify the first and second differences: 3, 8, 15, 24, 35

Complete: 5, 12, 21, ___, ___

Which of these is not a quadratic pattern?

• 1, 4, 9, 16, 25

• 2, 4, 6, 8, 10

• 3, 6, 11, 18, 27

Find the general term of: 1, 4, 9, 16, 25

• n^3
• n+1
• 2n
• n^2

Determine the nth term for: 5, 12, 21, 32, 45

• n^2 + 8
• n^2 + 6
• n^2 + 4
• n^2 + 2

Find the rule (T(n)) for the pattern: 2, 7, 14, 23, 34

A sequence goes: 6, 11, 18, 27, 38. Find T(n).

Given T(n) = an² + bn + c, and the terms are 4, 9, 16, 25, 36 — find a, b, and c.