document.write( "Question 1144231: I have a sequence of 5,11,17,23. I need to know what the number will be for the 100th number in the sequence. \n" ); document.write( "

Algebra.Com's Answer #765258 by math_helper(2461) $\"\"$ $\"About$

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document.write( "One way to solve this is to operate on the original sequence so it is in correspondence to 1,2,3,..., 100  then reverse the steps:\r
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document.write( "I. 5, 11, 17, 23, ... \r
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document.write( "If you subtract 5 from each element:
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document.write( "II. 0, 6, 12, 18, ...\r
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document.write( "Then divide each element by 6:
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document.write( "III. 0, 1, 2, 3, ...\r
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document.write( "Then add 1 to each element:
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document.write( "IV.  1, 2, 3, 4, ...\r
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document.write( "We can now work our way back from IV to I, reversing the operations:\r
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document.write( "The 100th element in IV will be 100  (simple counting from 1 to 100)
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document.write( "The 100th element in III will be 99  (subtracted 1)
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document.write( "The 100th element in II will be 594  (multiplied by 6)
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document.write( "The 100th element in I will be 599   (added 5)\r
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document.write( "The 100th element of the sequence is \r
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document.write( "Another way to go is to recognize that the sequence is
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document.write( " for n = 1,2,3, ...\r
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document.write( "and plug in 100:   \r
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