Inspired by Calvin Lin!

Algebra Level 3

If someone tells you

[ ( ( ( ( ( 50 3 ) 1 2 ) 9 ) 1 3 ) ) 2 + n = 1 1 n ( n + 1 ) + 1 n s i n x 6 ] [ ( d + n ) n d ] 1 × ( d + n ) + ( w k + e 2 ) + ( ( e 2 n ) 1 2 ( d s ) 1 ) + ( y 1 e 1 ( a r ) 1 ) { \left[ { \left( \left( { \left( \left( { { \left( \sqrt [ 3 ]{ 50 } \right) }^{ \frac { -1 }{ 2 } } } \right) ^{ 9 } \right) }^{ \frac { 1 }{ 3 } } \right) \right) }^{ -2 }+ \sum _{ n=1 }^{ \infty }{ \frac { 1 }{ n\left( n+1 \right) } } +\frac { \frac { 1 }{ n } sinx }{ 6 } \right] }^{ { \left[ \frac { \left( d+n \right) }{ nd } \right] }^{ -1 }\times \left( d+n \right) }+\left( \frac { w }{ { k } } +{ e }^{ 2 } \right) +\left( \frac { { \left( e^{ 2n } \right) }^{ \frac { 1 }{ 2 } } }{ { \left( ds \right) }^{ -1 } } \right) +\left( \frac { { y }^{ \frac { 1 }{ { e }^{ -1 } } } }{ { \left( { a }^{ r } \right) }^{ -1 } } \right)

what is he saying?


Inspiration, Too many celebrations going around


This problem is created by me! But two of the expressions were taken from @Satvik Golechha

Fifty second week ends the year. The twenty fourth hour ends the day. Happy New Year. Merry Christmas.

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2 solutions

David Holcer
May 6, 2015

I looked at the variable letters of the equation and compared to the given options.

Actually that's easier, upvoted!

Sravanth C. - 6 years, 1 month ago
Sharky Kesa
May 5, 2015

We just need to figure out the square bracket to solve.

\large \begin{aligned} \left[ \left( \left( \left( \left( \left( \left( \sqrt [ 3 ]{ 50 } \right) ^{ \frac { 1 }{ -2 } } \right) ^{ 9 } \right) ^{ \frac { 1 }{ 3 } } \right) \right) ^{ -2 }+\sum _{ n=1 }^{ \infty } \frac { 1 }{ n(n+1) } +\frac { \frac { 1 }{ n } sinx }{ 6 } \right] =\left[ 50^{ \frac { 1 }{ 3 } \times \frac { 1 }{ -2 } \times 9\times \frac { 1 }{ 3 } \times -2 }+\sum _{ n=1 }^{ \infty } \frac { 1 }{ n(n+1) } +\frac { \frac { 1 }{ n } sinx }{ 6 } \right] \\ =\left[ 50^{ 1 }+\sum _{ n=1 }^{ \infty } \frac { 1 }{ n(n+1) } +\frac { \frac { 1 }{ n } sinx }{ 6 } \right] \\ =50+\sum _{ n=1 }^{ \infty } \frac { 1 }{ n } -\frac { 1 }{ n+1 } +\frac { six }{ 6 } \right] & \\ & =50+1+1 \\ & =52 \end{aligned}

Since we know what the first number is, we have sufficient information to determine the answer.

You have LaTeX \LaTeX error.

Rajdeep Dhingra - 6 years, 1 month ago

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Where? I can't find it.

Sharky Kesa - 6 years, 1 month ago

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There is One. Kindly Check it again :)

Mehul Arora - 6 years, 1 month ago

Yeah @Sharky Kesa . There is L a T e X LaTeX Error In our solution.

Mehul Arora - 6 years, 1 month ago

I think you need to add a "\left" in the appropriate place, atleast that's what the DAUM EQUATION EDITOR is showing when I copied the same content. . .

Sravanth C. - 6 years, 1 month ago

Edited it.

Sudeep Salgia - 6 years, 1 month ago

Nicely done! Up voted.

Sravanth C. - 6 years, 1 month ago

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