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if we consider this sequence:

SAMsmileyKELLYSAMsmileyKELLYSAMsmileyKELLY....

 

The smiley is part of the sequence.

 

In what position will the 100th "L" be?

 

Thanx for your assistance!..

 Jul 25, 2018
 #1
avatar+22884 
0

if we consider this sequence:

SAMsmileyKELLY

SAMsmileyKELLY

SAMsmileyKELLY....

 

The smiley is part of the sequence.

 

In what position will the 100th "L" be?

 

\(\begin{array}{|lrcll|} \hline &\boxed{ L_{2n} = 8+(n-1)\cdot 9 } \\\\ n=50: & L_{2\cdot 50}=L_{100} &=& 8+(50-1)\cdot 9 \\ & &=& 8+49\cdot 9 \\ & &=& 8+441\\ & &=& 449 \\ \hline \end{array}\)

 

The 100th "L" will be in position 449

 

laugh

 Jul 25, 2018

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