document.write( "Question 1040195: 1. What must be the value of k so that 5k-3, k+2, and 3k-11 will form an arithmetic sequence?
\n" ); document.write( "2. which term of the arithmetic sequence whose first term is -3,common difference is 2, and last term is 23?
\n" ); document.write( "3. find a sub 1 if a sub 8=54 and a sub 9=60.
\n" ); document.write( "4. find the 9th term of the arithmetic sequence with asub1 =10 and d= -1/2
\n" ); document.write( "5. give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100. \n" ); document.write( "

Algebra.Com's Answer #655135 by ikleyn(52805) $\"\"$ $\"About$

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\n" ); document.write( "1. What must be the value of k so that 5k-3, k+2, and 3k-11 will form an arithmetic sequence?
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document.write( "if  5k-3, k+2, and 3k-11 will form an arithmetic sequence, then\r\n" );
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document.write( "the differece (3-rd - 2-nd) = (2-nd - 1-st),  or\r\n" );
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document.write( "(3k-11) - (k+2) = (k+2) - (5k-3).\r\n" );
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document.write( "To find the value of \"k\", simplify and solve this equation:\r\n" );
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document.write( "3k - 11 - k - 2 = k+2 - 5k +3,  --->\r\n" );
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document.write( "2k - 13 = -4k +5,  --->  \r\n" );
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document.write( "2k + 6k = 5 + 13,\r\n" );
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document.write( "6k = 18  --->  k =  = 3.\r\n" );
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