There are 2016 terms?

Algebra Level 2

( 9 − 1 100 ) 3 ( 9 − 2 100 ) 3 ( 9 − 3 100 ) 3 ⋯ ( 9 − 2016 100 ) 3 = ? \left( 9 -\dfrac1{100} \right)^3 \left( 9 -\dfrac2{100} \right)^3 \left( 9 -\dfrac3{100} \right)^3 \cdots \left( 9 -\dfrac{2016}{100} \right)^3 = \, ?


The answer is 0.

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Budi Utomo by Budi Utomo , 23, Indonesia

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3 solutions

At some point it will reach ( 9 − 900 100 ) 3 \left( 9 - \frac{900}{100}\right) ^ 3 = 0

16 Helpful 0 Interesting 0 Brilliant 0 Confused

I was thinking 3 hours, and suddenly come thats thing.

Irvine Dwicahya - 5 years, 4 months ago

Sir, please explain (steps by steps) that, how does finally it's become (9- 900/100)^3. Thank you, very much.

Panya Chunnanonda - 5 years, 4 months ago

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Because this is a sequence of course, it will come to point (9 - 900/100)^3 which is equal to zero. And, the number to its right and left are surely going to be multiplied to it and therefore be equal to zero.

Lloyd Regalado - 5 years, 4 months ago
Tanvir Hasan
Jan 27, 2016

at 900 point it will come (9-900/100)^3 that means outcome is 0. and multiply anything with 0,that's obviously a zero.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

finally I got this.... really interesting one.

Safayet Ullah Neyam - 5 years, 4 months ago
Amed Lolo
Jan 21, 2016

Of course there will be (9-900\100)^3=0### expression =0####

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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