document.write( "Question 1102348: Joshua likes to read. He read 6 books when he was 6 years old. Every year he doubled the number of books he read the previous year. How many total books did he read between the ages of 6 and 10? \n" ); document.write( "

Algebra.Com's Answer #717028 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+n+=+0+\"$ when he was $\"+6+\"$ yrs old
\n" ); document.write( " $\"+n+=+4+\"$ when he was $\"+10+\"$ yrs old
\n" ); document.write( "Let $\"+S+\"$ = number of books he read
\n" ); document.write( "from age $\"+6+\"$ to age $\"+10+\"$
\n" ); document.write( "-----------------------------------------
\n" ); document.write( " $\"+S+=+6%2A%28+2%5E%28+n%2B1+%29+-+1+%29+\"$ and $\"+n+=+4+\"$
\n" ); document.write( " $\"+S+=+6%2A%28+2%5E5+-+1+%29+\"$
\n" ); document.write( " $\"+S+=+6%2A%28+32+-+1+%29+\"$
\n" ); document.write( " $\"+S+=+6%2A31+\"$
\n" ); document.write( " $\"+s+=+186+\"$
\n" ); document.write( "He read 186 books from age $\"+6+\"$ to age $\"+10+\"$
\n" ); document.write( "------------------------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+S+=+6%2A2%5E0+%2B+6%2A2%5E1+%2B+6%2A2%5E2+%2B+6%2A2%5E3+%2B+6%2A2%5E4+\"$
\n" ); document.write( " $\"+S+=+6+%2B+6%2A2+%2B+6%2A4+%2B+6%2A8+%2B+6%2A16\"$
\n" ); document.write( " $\"+S+=+6+%2B+12+%2B+24+%2B+48+%2B+96+\"$
\n" ); document.write( " $\"+S+=+186+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );