-57
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-57
-57The first two numbers in the series has a difference of 89. The next two numbers (209, 129) has a difference of 80. The next two (129,58) has a difference of 71. As you can see the differences change by 9, so the next two numbers in the series (58, -4) has a difference of 62. Following this pattern, the next two numbers in the series will have a difference of 53. So the next number in this series will be (-4-53 = -57).
-57 298 - 89 = 209 209 - 80 = 129 129 - 71 = 58 58 - 62 = -4 -4 - 53 = -57 notice every number is subtracted by 9 less than the previous number's subtrator
-4 or -17 if you use t(n) = (4n4 - 44n3 + 191n2 - 859n + 2496)/6
At each step the number being subtracted is reduced by 9 298 - 89 = 209 209 - 80 = 129 129 - 71 = 58 58 - 62 = -4 -4 - 53 = -57..........which is the next number.