document.write( "Question 1154282: Find the sum of the geometric sequence −3, 15, −75, 375, … when there are 7 terms and select the correct answer below.\r
\n" ); document.write( "\n" ); document.write( "the options are:
\n" ); document.write( "A) -39,063
\n" ); document.write( "B) 39,063
\n" ); document.write( "C) 58,593
\n" ); document.write( "D) -58,593\r
\n" ); document.write( "\n" ); document.write( "if you can, please include a thorough explanation!!! thanks!
\n" ); document.write( "

Algebra.Com's Answer #776701 by MathTherapy(10551)\"\" \"About 
You can put this solution on YOUR website!
Find the sum of the geometric sequence −3, 15, −75, 375, … when there are 7 terms and select the correct answer below.\r
\n" ); document.write( "\n" ); document.write( "the options are:
\n" ); document.write( "A) -39,063
\n" ); document.write( "B) 39,063
\n" ); document.write( "C) 58,593
\n" ); document.write( "D) -58,593\r
\n" ); document.write( "\n" ); document.write( "if you can, please include a thorough explanation!!! thanks!
\n" ); document.write( "
Use the formula for the sum of a GP: \"matrix%281%2C3%2C+S%5Bn%5D%2C+%22=%22%2C+a%5B1%5D%281+-+r%5En%29%2F%281+-+r%29%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+S%5B7%5D%2C+%22=%22%2C+%28-+3%281+-+%28-+5%29%5E7%29%29%2F%281+-+-+5%29%29\" ---- Substituting \"matrix%283%2C3%2C+7%2C+for%2C+n%2C+-+3%2C+for%2C+a%5B1%5D%2C+-+5%2C+for%2C+r%29\"
\n" ); document.write( "
\n" ); document.write( "\"matrix%281%2C3%2C+S%5B7%5D%2C+%22=%22%2C+%28-+3%281+%2B+%2278%2C125%22%29%29%2F6%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+S%5B7%5D%2C+%22=%22%2C+%28-+3%28%2278%2C126%22%29%29%2F6%29\"
\n" ); document.write( "Sum of the 7 GP terms, or: \n" ); document.write( "
\n" );