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Study this pattern of sums:
1 = 1
1 + 2 + 1 = 4
1 + 2 + 3 + 2 + 1 = 9
1 + 2 + 3 + 4 + 3 + 2 + 1 = 16
Using the pattern, what is the value of 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1?

Class 6Patterns and RulesAlgebra
  • A32
  • B72
  • C36
  • D40

Step-by-Step Solution

Each sum that peaks at n equals n n. Here the peak is 6, so the sum is .
Answer: C) 36

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