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Per NCERT, in the Sierpiński triangle, the number of BLACK triangles at stage n is given by which formula?
Atₙ = 3 + n
Btₙ = 3n
Ctₙ = 3ⁿ — a GP with common ratio 3 (each stage triples the number of black triangles)
Dtₙ = n³
Answer & Solution
Correct answer: C. tₙ = 3ⁿ — a GP with common ratio 3 (each stage triples the number of black triangles)
Per NCERT §8.6.1 Table 1, black triangles: 1, 3, 9, 27, 81, 243, ..., 3ⁿ. The other formulas misstate.
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