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Sequences and the nth term: tile patterns and differences

Explore arithmetic, quadratic and geometric sequences as visual tile patterns, inspect the first and second differences table, derive the nth term step by step, and test whether a target number belongs to the sequence.

Sequence type:

Visual tile pattern for the first 5 terms (n = 1 to 5)

Differences table (n = 1 to 6)

Sequence parameters

Step-by-step nth term derivation

Is a target number T in the sequence?

T = 53