Evaluate that Product!

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Evaluate

∏ k = 1 5 k ( k + 1 ) ( k + 2 ) \prod_{k=1}^5 k(k+1)(k+2)


The answer is 420.

Victor Loh by Victor Loh , 19, Singapore

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1 solution

Victor Loh
Jan 4, 2014

The answer is

( 1 × 2 × 3 ) + ( 2 × 3 × 4 ) + ( 3 × 4 × 5 ) + ( 4 × 5 × 6 ) + ( 5 × 6 × 7 ) (1 \times 2 \times 3) + (2 \times 3 \times 4) + (3 \times 4 \times 5) + (4 \times 5 \times 6) + (5 \times 6 \times 7)

= 6 + 24 + 60 + 120 + 210 = 6 + 24 + 60 + 120 + 210

= 420 = \boxed{420} .

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I happened to put 420 as the answer. But the capital pi notation is used for products. The answer should be 1 2 3 2 3 4 ... 5 6*7=217728000.

Joel Tan - 7 years, 5 months ago

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I mean 1 × 2 × 3 × 2 × . . . × 5 × 6 × 7 1 \times 2 \times 3 \times 2 \times ...\times 5 \times 6 \times 7

Joel Tan - 7 years, 5 months ago

omg I put the wrong symbol sorry I will repost it

Victor Loh - 7 years, 5 months ago

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