document.write( "Question 522654: how many numbers between 150 and 300 are divisible by 7? \n" ); document.write( "

Algebra.Com's Answer #346934 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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The smallest is 154, the biggest is 294
\n" ); document.write( "we can look at them like at an arithmetic progression
\n" ); document.write( " $\"a%5B1%5D=154\"$ , $\"d=7\"$ , $\"a%5Bn%5D=294\"$
\n" ); document.write( " $\"a%5Bn%5D=a%5B1%5D%2Bd%2A%28n-1%29\"$
\n" ); document.write( " $\"294=154%2B7%2A%28n-1%29\"$
\n" ); document.write( " $\"7%28n-1%29=294-154\"$
\n" ); document.write( " $\"7%28n-1%29=140\"$ divide by 7
\n" ); document.write( " $\"n-1=20\"$
\n" ); document.write( " $\"n=20%2B1\"$
\n" ); document.write( " $\"n=21\"$
\n" ); document.write( "Answer:21 \n" ); document.write( "

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