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he sequence 2, 3, 5, 6, 7, 10, 11, contains all the positive integers from least to greatest that are neither squares nor cubes. What is the 500th term of the sequence?

 Nov 29, 2020
 #1
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The 500th term is 567.

 Nov 29, 2020
 #2
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(1, 4, 8, 9, 16, 25, 27, 36, 49, 64, 81, 100, 121, 125, 144, 169, 196, 216, 225, 256, 289, 324, 343, 361, 400, 441, 484, 512)>>Total of all squares and cubes = 28

 

Therefore, the 500th term of the sequence =500 + 28 = 528th

 Nov 29, 2020

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