Using the simplest polynomial of order 4,
Un = (-23n4 + 266n3 - 1033n2 + 1630n - 32)/24, for n = 1, 2, 3, ...
the next number will be 22.
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The next number is -21
109 Answered by G.S.Nair
The pattern in the series appears to alternate between adding 3 and multiplying by 3. Starting with 15, we add 3 to get 18, then multiply by 3 to get 54. Next, we add 3 to 54 to get 57, and then multiply by 3 to reach 171. Following this pattern, the next step is to add 3 to 171, which gives us 174. Thus, the next number in the series is 174.
26