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You can put this solution on YOUR website!
the sequence 5,-25, 125, -625,...
\n" ); document.write( "first number = 5
\n" ); document.write( "second number = 5 * (-5) =-25
\n" ); document.write( "third number = -25 * (-5) = 125
\n" ); document.write( "fourth number = 125 * (-5) = -625
\n" ); document.write( "which means, next number in series = previous number in series * (-5)
\n" ); document.write( "Therefore,
\n" ); document.write( "5th number = -625 * (-5)
\n" ); document.write( "6th number = (5th number) * (-5) = -625 * (-5) *(-5) = -625 * 25
\n" ); document.write( "like wise,
\n" ); document.write( "7th number = -625 * 25 * (-5) = -625 * -125
\n" ); document.write( "8th number = -625 * -125 * (-5) = -625 * 625
\n" ); document.write( "9th number = -625 * 625 * (-5)
\n" ); document.write( "10th number = -625 * 625 * -5 * (-5) = -625 *625 *25= -9765625 --->answer\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(or)
\n" ); document.write( "another method:-
\n" ); document.write( "the sequence 5,-25, 125, -625,... is in geometric series
\n" ); document.write( "first term a1= 5
\n" ); document.write( "common ratio r= -25/5 = -5
\n" ); document.write( "nth term = a1*r^(n-1)
\n" ); document.write( "10th term = 5 *(-5)^(10-1)
\n" ); document.write( " = 5 * (-5)^9 = -9765625\r
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