document.write( "Question 1041613: How many terms ofthe sequence -24, -15, -6, and 3 will give a sum of 1230?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #656672 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "How many terms ofthe sequence -24, -15, -6, and 3 will give a sum of 1230?
\n" ); document.write( "
Use the formula for the SUM of an AP: \"S%5Bn%5D+=+%28n%2F2%29%282a%5B1%5D+%2B+%28n+-+1%29d%29\", where:
\n" ); document.write( "\"a%5B1%5D\" = First term in AP (- 24 in this case)
\n" ); document.write( "\"S%5Bn%5D\" = Sum of n terms (1,230 in this case)
\n" ); document.write( "\"n\" = number of terms in the AP (unknown)
\n" ); document.write( "\"d\" = Common difference (9 in this case)\r
\n" ); document.write( "\n" ); document.write( "Thus, \"S%5Bn%5D+=+%28n%2F2%29%282a%5B1%5D+%2B+%28n+-+1%29d%29\" becomes: \"S%5Bn%5D+=+%28n%2F2%29%282%28-+24%29+%2B+%28n+-+1%299%29\"
\n" ); document.write( "\"matrix%281%2C1%2C+%221%2C230%22%29+=+%28n%2F2%29%28-+48+%2B+9n+-+9%29\" \r
\n" ); document.write( "\n" ); document.write( "Continue to solve for n (the number of terms). You should get \"highlight_green%28matrix%281%2C2%2C+20%2C+terms%29%29\" \n" ); document.write( "
\n" );