document.write( "Question 308839: Complete the following pattern: 2, 3, 4.5, 6.75, _____, _____: \n" ); document.write( "
Algebra.Com's Answer #220836 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
As always goes for easy school problems, look at the differences between numbers. (you do not have to be a genius to remember this simple rule, always try it first if the answer is not obvious)\r
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\n" ); document.write( "\n" ); document.write( "1,1.5,2.25\r
\n" ); document.write( "\n" ); document.write( "those are powers of 1.5.\r
\n" ); document.write( "\n" ); document.write( "So the next number is \"6.75%2B1.5%5E3\"
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"6.75%2B1.5%5E3\" simplifies to \"10.125\"
  • Text form: 6.75+1.5^3 simplifies to 10.125
  • Cartoon (animation) form: \"simplify_cartoon%28+6.75%2B1.5%5E3+%29\"
    For tutors: simplify_cartoon( 6.75+1.5^3 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"6.75%2Bhighlight_red%28+1.5+%29%5Ehighlight_red%28+3+%29\".
Replace constants in factor: \"highlight_red%28+1.5+%29\",\"highlight_red%28+3+%29\" with \"highlight_green%28+3.375+%29\"
It becomes \"6.75%2Bhighlight_green%28+3.375+%29\".
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Look at \"highlight_red%28+6.75+%29%2Bhighlight_red%28+3.375+%29\".
Replace constants in expression: \"highlight_red%28+6.75+%29\",\"highlight_red%28+3.375+%29\" with \"highlight_green%28+10.125+%29\"
It becomes \"highlight_green%28+10.125+%29\".
Result: \"10.125\"
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Universal Simplifier and Solver

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Done!

\n" ); document.write( "\n" ); document.write( "The next number is \"10.125%2B1.5%5E4\"
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"10.125%2B1.5%5E4\" simplifies to \"15.1875\"
  • Text form: 10.125+1.5^4 simplifies to 15.1875
  • Cartoon (animation) form: \"simplify_cartoon%28+10.125%2B1.5%5E4+%29\"
    For tutors: simplify_cartoon( 10.125+1.5^4 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"10.125%2Bhighlight_red%28+1.5+%29%5Ehighlight_red%28+4+%29\".
Replace constants in factor: \"highlight_red%28+1.5+%29\",\"highlight_red%28+4+%29\" with \"highlight_green%28+5.0625+%29\"
It becomes \"10.125%2Bhighlight_green%28+5.0625+%29\".
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Look at \"highlight_red%28+10.125+%29%2Bhighlight_red%28+5.0625+%29\".
Replace constants in expression: \"highlight_red%28+10.125+%29\",\"highlight_red%28+5.0625+%29\" with \"highlight_green%28+15.1875+%29\"
It becomes \"highlight_green%28+15.1875+%29\".
Result: \"15.1875\"
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Universal Simplifier and Solver

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Done!
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