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A shopkeeper in Pune stacks oranges in a triangular pile: layer 1 (top) has 1 orange, layer 2 has 3, layer 3 has 6, layer 4 has 10 (triangular numbers).
How many oranges are in the 6th layer?

Class 8Patterns in NumbersNumber System
  • A19
  • B23
  • C21
  • D42

Step-by-Step Solution

Triangular numbers: 1, 3, 6, 10, 15, 21. The 6th layer has 21 oranges .
Answer: C) 21

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