document.write( "Question 922706: Find the value of k so that 2k + 2, 5k - 11, and 7k - 13 will form an arithmetic progression. \n" ); document.write( "

Algebra.Com's Answer #559680 by srinivas.g(540) $\"\"$ $\"About$

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In arithmetic progression, rule is as follows
\n" ); document.write( " $\"+middle+term++=+%28sum+of+first+term+%2Blast+term%29%2F2\"$
\n" ); document.write( " $\"+%285k-11%29+=+%28%282k%2B2%29%2B%287k-13%29%29%2F2\"$
\n" ); document.write( " multiply with 2 on both sides
\n" ); document.write( " $\"+%285k-11%29%2A2+=+%28%28%282k%2B2%29%2B%287k-13%29%29%2F2%29%2A2+\"$
\n" ); document.write( " $\"+%285k-11%29%2A2+=+2k%2B2%2B7k-13\"$
\n" ); document.write( " 5k*2-11*2 = 9k-11
\n" ); document.write( " 10k-22=9k-11
\n" ); document.write( " move 9k to the right
\n" ); document.write( " 10k-22-9k= -11
\n" ); document.write( " k-22 =-11
\n" ); document.write( " move -22 to the left
\n" ); document.write( " k =-11+22
\n" ); document.write( " k =11
\n" ); document.write( " result k =11 \n" ); document.write( "

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