document.write( "Question 124231: Please help me solve!
\n" ); document.write( "Give the general term of the set. Type the general term using n.
\n" ); document.write( "{7, 10,13, 16, 19, ......}\r
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Algebra.Com's Answer #91043 by solver91311(24713) $\"\"$ $\"About$

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There is some starting point and for each term you add three. That means there are n 3s in the nth term. Since 7 is the number 1 term, there must be 1 3 added to the starting point to get the value 7.\r
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\n" ); document.write( "\n" ); document.write( "Now we have a picture of what is going on and we can re-write the first few terms of the set thus:\r
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\n" ); document.write( "\n" ); document.write( "{4+1(3),4+2(3),4+3(3),...}\r
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\n" ); document.write( "\n" ); document.write( "Notice that the first term has a multiplier of 1, the second has a multiplier of 2, and the third term a multiplier of 3. This pattern leads us to the conclusion that the nth term should have a multiplier of n.\r
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\n" ); document.write( "\n" ); document.write( "So, the general term, in terms of n is $\"4%2B3n\"$ \r
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\n" ); document.write( "\n" ); document.write( "Adding 3 to 19 should give the 6th term as 22. $\"4%2B3%286%29=22\"$ , so our answer checks. \n" ); document.write( "

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