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3 4 8 17 33 58?

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Anonymous

16y ago
Updated: 4/28/2022

The starting position in this progression is 3. Then it increases in the following way: 1x1, 2x2, 3x3, 4x4, 5x5; that is: 1, 4, 9, 16, 25. So that we have the following progression 3 [+1=] 4 [+4=] 8 [+9=] 17 [+16=] 33 [+25=] 58. The following number after 58 would be [+(6x6)=] 94.

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16y ago

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Related Questions

What is the next number 3 4 8 17 33?

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Starting with 3, the number added to each term to get the next term is the square of each positive integer in turn, starting with 1: 3 + 1² = 4 4 + 2² =. 8 8 + 3² = 17 17 + 4² = 33 33 + 5² = 58 ...and so on. One can discover this by looking at the sequence of successive differences between the original given terms: 4-3, 8-4, 17-8, 33-17, ... or 1, 4, 9, 16, ... which is 1², 2², 3², 4², ... The recursive formula is Σ(1) = 3; Σ(n+1) = Σ(n) + (n-1)²


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