document.write( "Question 690876: Find the sum of the first 196 terms of 2,7,12,17,... \n" ); document.write( "
Algebra.Com's Answer #427185 by mouk(232)\"\" \"About 
You can put this solution on YOUR website!
The terms 2,7,12,17,... form an Arithmetic Progression (AP) with:
\n" ); document.write( "first term, a = 2
\n" ); document.write( "common difference, d=5\r
\n" ); document.write( "\n" ); document.write( "You can use the AP summation formula \"+S%5Bn%5D=%28n%2F2%29%282a%2B%28n-1%29d%29+\"\r
\n" ); document.write( "\n" ); document.write( "The result is as follows:
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Arithmetic Progression (AP) Solver
The first few terms of this AP are:
\n" ); document.write( "a=2, a+d=7, a+2d=12, a+3d=17, ...
\n" ); document.write( "or, just: 2, 7, 12, 17, ...\r
\n" ); document.write( "\n" ); document.write( "The Sum of the first n terms is given by:
\n" ); document.write( "\"+S%5Bn%5D=+%28n%2F2%29%282a%2B%28n-1%29d%29+\"
\n" ); document.write( "So substituting a=2, d=5 and n=196 gives:
\n" ); document.write( "\"+S%5B196%5D=+%28196%2F2%29%282%282%29%2B%28196-1%295%29+=+95942+\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );