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Bertram Bins IV

Feb 20, 2025

What comes next in the series: 4,5,8,17,44,… and why??

The answer is 125…emphasis on the “why” part of the question.
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8 Answers

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Lori Robel

Feb 20, 2025

s(n+1) = s(n) + 3^(n-1) sos(n+1) =s(1) +3^0 +3^1 +….+3^(n-1) =4 + (3^n -1)/2so s(n+1) =4 +(3^n-1)/2... Show More
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Lori Robel

Feb 20, 2025

I think I’ve got it! There’s no obvious pattern to the series, but look at the amount you’re adding each time.5-4 = . . . 18-5 = . . . 317-8 = . . 944-17 = .27The amount you add to the last number to get the next one is increasing by powers of 3. So for the next step in the series, you’d add 27*3, or 81, to 44 to get 125.... Show More
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Lori Robel

Feb 20, 2025

You keep multiplying by multiples of 3:4 to 5 is 1, 5 to 8 is 3, 8 to 17 is 9, 17 to 44 is 27, 44 to 125 is 81, multiply the previous difference by 3... Show More
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Lori Robel

Feb 20, 2025

4 – 5 = 15 – 8 = 3 (1*3)8 – 17 = 9 (3*3)17 – 44 = 27 (9*3)44 – 125 = 81 (27*3)So, you are multipling the “distance” of the previous two numbers by three to get the new “distance”. you then add that to previous number to get the new number.Hope that provides a bit more clarity.... Show More
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Lori Robel

Feb 20, 2025

After x comes 3x-7:5 = 3*4-78 = 3*5 -717=3*8-744=3*17-7 next element is 125=3*44-7... Show More
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Lori Robel

Feb 20, 2025

This Site Might Help You.RE:What comes next in the series: 4,5,8,17,44,… and why??The answer is 125…emphasis on the "why" part of the question.... Show More
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Lori Robel

Feb 20, 2025

you add on 1, then 3, then 9, then 27, and finally 81, so basically you’re adding on 3 times the last number added.... Show More
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