What is the mean of the first five triangular numbers?

This question was previously asked in
RRB ALP Previous Paper 10 (Held On: 10 Aug 2018 Shift 1)
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  1. 7
  2. 5
  3. 8
  4. 6

Answer (Detailed Solution Below)

Option 1 : 7
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Detailed Solution

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Triangular number will satisfy following conditions,

Xn = n(n + 1) /2

⇒ X1 = 1

⇒ X2 = 3

⇒ X3 = 6

⇒ X4 = 10

⇒ X5 = 15

N∴ Mean of first five triangular number = (1 + 3 + 6 + 10 + 15) /5 = 7

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