document.write( "Question 1065340: Please help me solve this question.
\n" ); document.write( "It's a reasoning question : 3, 8, 27, 112, ?, 3396.
\n" ); document.write( "I've solved 19 questions out of 20 but this one is proving to be a very difficult question for me. Please help me solve it.
\n" ); document.write( "I'll be very thankful to you. \n" ); document.write( "

Algebra.Com's Answer #680508 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "We notice that the sequence seems to be increasing, so let's\r\n" );
document.write( "start with the 2nd term and divide each term by the previous term\r\n" );
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document.write( "The whole parts of those decimals are going up 2,3,4,... \r\n" );
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document.write( "So let's see how close multiplying the first term by 2 is to\r\n" );
document.write( "the second term 8,  2×3 = 6, and we see that we must add 2 to get 8\r\n" );
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document.write( "Now let's see how close multiplying the second term by 3 is to\r\n" );
document.write( "the third term 27,  8×3 = 24, and we must add 3 to get 27\r\n" );
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document.write( "Now let's see how close multiplying the third term by 4 is to\r\n" );
document.write( "the fourth term 112,  27×4 = 108, and we must add 4 to get 112\r\n" );
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document.write( "Hmm!  If that pattern works, if we multiply 112 by 5, we should \r\n" );
document.write( "have to add 5 to get the next term.  That would be \r\n" );
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document.write( "112×5 = 560 and if we add 5 we get 565.\r\n" );
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document.write( "But we have to check to see if we multiply 565 by 6 and add 6,\r\n" );
document.write( "we'll get 3396.\r\n" );
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document.write( "565×6 = 3390 and sure enough when we add 6, we do indeed get 3396.\r\n" );
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document.write( "So the answer for the missing term is 565.\r\n" );
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document.write( "Edwin

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