philtroha philtroha
  • 18-04-2024
  • Mathematics
contestada

what is the next in this sequence 167, 118, 82, 57, 41

Respuesta :

ghoulocious
ghoulocious ghoulocious
  • 18-04-2024

Answer:

32

Step-by-step explanation:

Obviously, the numbers are decreasing. So, to find this number, we have to determine how much the sequence is declining by.

167 - 118 = 49.
118 - 82 = 36.
82 - 57 = 25.
57 - 41 = 16.

As we decrease, we're decreasing consecutively by square numbers (so, in other words, we're decreasing in 7 squared, 6 squared, 5 squared, 4 squared... )

So, we'll continue the pattern and subtract by 3 squared (9).
41 - 9 = 32.

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