The value of (1³ + 2³ + 3³ + ........ + 15³)

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The value of (1³ + 2³ + 3³ + ........ + 15³) – (1 + 2 + 3 + ...... + 15) is —

1. 14280
2. 14400
3. 12280
4. 13280

Correct Option: A

According to question,

∴ (1³ + 2³ + 3³ + ........ + 15³) – (1 + 2 + 3 + .... + 15) =		n(n + 1)		²	-		n(n + 1)
		2					2

Required answer =		15 × 16		²	-		15 × 16
		2					2

Required answer = (120)² - 120 = 120 × 119 = 14280