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Arithmetic Sequence
𝑎𝑛 = 𝑎1 + (𝑛 − 1)𝑑
Geometric Sequence
𝑎𝑛 = 𝑎1 𝑟^𝑛−1
Triangular Number Sequence
an = n(n+1)/2
Square Number Sequence
n²
Cubic Number Sequence
an³ + bn² + cn + d
Prime Number Sequence
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Alternating Sequence
switches types of sequence in the sequence
Factorial Sequence
n!
Mixed Sequence
combines multiple operations
A formula for Cubic
6a = third difference
B Formula for Cubic
12a + 2b = 1st Second Difference
C Formula for Cubic
7a + 3b + c = 1st first difference
D Formula for Cubic
a + b + c + d = 1st term of the sequence
Cubic Sequence Final Formula
n³ + n² + n + d