document.write( "Question 942808: find the 25th term of the arithmetic sequence:26, 13, 0, -13 \n" ); document.write( "

Algebra.Com's Answer #574765 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " the $\"25\"$ th term of the arithmetic sequence: $\"26\"$ , $\"13\"$ , $\"+0\"$ , $\"+-13\"$ .....\r
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\n" ); document.write( "\n" ); document.write( " the nth term of the arithmetic sequence: $\"a%5Bn%5D=a%5B1%5D+%2B%28n-1%29d\"$ where $\"n\"$ is number of the term and $\"d\"$ is common difference\r
\n" ); document.write( "\n" ); document.write( "you have the arithmetic sequence: $\"26\"$ , $\"13\"$ , $\"0\"$ , $\"+-13\"$ where $\"a%5B1%5D=26\"$ and $\"a%5B2%5D=13\"$ , so the difference $\"d=-13\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a%5Bn%5D=a%5B1%5D+%2B%28n-1%29%28-13%29\"$ ...check the third term ( or $\"n=3\"$ )\r
\n" ); document.write( "\n" ); document.write( " $\"a%5B3%5D=26+%2B%283-1%29%28-13%29\"$
\n" ); document.write( " $\"a%5B3%5D=26+%2B%282%29%28-13%29\"$
\n" ); document.write( " $\"a%5B3%5D=26+-26\"$
\n" ); document.write( " $\"a%5B3%5D=0\"$ which is true\r
\n" ); document.write( "\n" ); document.write( "so, the $\"25\"$ th term will be:\r
\n" ); document.write( "\n" ); document.write( " $\"a%5Bn%5D=a%5B1%5D+%2B%28n-1%29%28-13%29\"$ ......plug in $\"n=25\"$ and $\"a%5B1%5D=26\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a%5B25%5D=26%2B%2825-1%29%28-13%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a%5B25%5D=26%2B%2824%29%28-13%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a%5B25%5D=26-312\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a%5B25%5D=-286\"$ \r
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