document.write( "Question 950100: What is the pattern rule with the numbers 7, 21, 63, 189 \n" ); document.write( "

Algebra.Com's Answer #580104 by MathLover1(20850) $\"\"$ $\"About$

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the pattern rule with the numbers $\"7\"$ , $\"21\"$ , $\"63\"$ , $\"189\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"7\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"21=7%2A3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"63=21%2A3=7%2A3%2A3=7%2A3%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"189=63%2A3=7%2A3%2A3%2A3=7%2A3%5E3\"$ \r
\n" ); document.write( "\n" ); document.write( "since the first term $\"a%5B1%5D=7\"$ and using pattern above could be written as $\"a%5B1%5D=7%2A3%5E0\"$ and since $\"n\"$ starts with $\"1\"$ , $\"3%5E0=3%5E%28n-1%29=3%5E%281-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "so,the rule is $\"a%5Bn%5D=7%2A3%5E%28n-1%29\"$ for all $\"n\"$ = $\"1\"$ , $\"2\"$ , $\"3\"$ ..... \n" ); document.write( "

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