document.write( "Question 842594: I wish to save 4 dollars week one. Week 2 I wish to save the original 4 dollars plus an additional 4 dollars. Week 3 sum of week 2 plus four dollars etc for 52 weeks. How do I express that algebraically? \n" ); document.write( "

Algebra.Com's Answer #507649 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The savings for any particular week is
\n" ); document.write( "$4 times the number of that week
\n" ); document.write( "Let $\"+n+\"$ = the week number.
\n" ); document.write( " $\"+4n+\"$ is the savings for week $\"+n+\"$
\n" ); document.write( "----------------------------------
\n" ); document.write( "You are letting $\"+n+\"$ go from $\"+1+\"$ to $\"+52+\"$
\n" ); document.write( "So, the expression for total savings looks like:
\n" ); document.write( "4*( 1 + 2 + 3 + 4 + 5 + . . . )
\n" ); document.write( "-----------------------------
\n" ); document.write( "The formula for the sum of all integers from
\n" ); document.write( "1 to n is $\"+%28+n%2A%28+n%2B1+%29%29%2F2+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "Let $\"+S+\"$ = total savings for $\"+n+\"$ weeks
\n" ); document.write( " $\"+S+=+%28+4n%2A%28+n%2B1+%29+%29%2F2+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "Now let $\"+n+=+52+\"$
\n" ); document.write( " $\"+S+=+%28+4%2A52%2A53+%29%2F2+\"$
\n" ); document.write( " $\"+S+=+11024%2F2+\"$
\n" ); document.write( " $\"+S+=+5512+\"$
\n" ); document.write( "The savings for 52 weeks is $5,512\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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