document.write( "Question 136910: find the sum of the first 10 terms of the series 9+18+36+... \n" ); document.write( "
Algebra.Com's Answer #100202 by dolly(163)![]() ![]() ![]() You can put this solution on YOUR website! Hi,\r \n" ); document.write( "\n" ); document.write( "The given series 9 + 18 + 36 +.... is a geometric series whose first term(a) is 9 and the common ratio(r) is 2.\r \n" ); document.write( "\n" ); document.write( "So sum upto 10 terms = a(1-r^n)/(1-r) where n = 10 here \n" ); document.write( " = 9(1-2^10)/(1-2) \n" ); document.write( " = 9(2^10 - 1)/1 [ multiplying by -1 on both numerator and denominator]\r \n" ); document.write( "\n" ); document.write( " = 9(2^10 -1) \n" ); document.write( " = 9(1024-1) \n" ); document.write( " = 9(1023) \n" ); document.write( " = 9207 \n" ); document.write( "sum upto 10 terms = 9207\r \n" ); document.write( "\n" ); document.write( "Good luck!!!\r \n" ); document.write( "\n" ); document.write( "dolly \n" ); document.write( " \n" ); document.write( " |