document.write( "Question 1029219: the first three terms of a geometric progression are 100,90 and 81 , the common ratio is 0.9
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Algebra.Com's Answer #644286 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "the first three terms of a geometric progression are 100,90 and 81 , the common ratio is 0.9
\n" ); document.write( "Find the sum to infinity of its terms ?
\n" ); document.write( "Can someone explain this step by step please as I do not understand
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document.write( "The sum of the infinite geometric progression with the first term  and the common ratio  is \r\n" );
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document.write( " = ,\r\n" );
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document.write( "providing that |r| < 1. \r\n" );
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document.write( "If you are a school math student, you are not required to understand how this formula is obtained. Simply accept this fact and use this formula.\r\n" );
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document.write( "In your case  = 100 and  = 0.9.\r\n" );
document.write( "Substitute these values into the formula. You will get\r\n" );
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document.write( "   the infinite sum =  =  = 1000.\r\n" );
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document.write( "That's all. The infinite sum of this geometric progression is 1000.\r\n" );
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