document.write( "Question 26650: 1) Identify the fifth term in the sequence in which a^2=40 and r=1/2
\n" ); document.write( "2) Find the sum of the geometric series in which a^1=125,r=2/5, and n=4
\n" ); document.write( "

Algebra.Com's Answer #14871 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
1) Identify the fifth term in the sequence in which a^2=40 and r=1/2
\n" ); document.write( "TN=A*R^(N-1)
\n" ); document.write( "T5=A*R^(5-1)=A*R^4=SQRT(40)*(1/2)^4=SQRT(40)/16=2SQRT(10)/16=SQRT(10)/8=0.3953\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2) Find the sum of the geometric series in which a^1=125,r=2/5, and n=4
\n" ); document.write( "sn=a*(1-r^n)/(1-r)
\n" ); document.write( "S4=125*(1-(2/5)^4)/(1-(2/5))=203\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );