gmat. 4,18,85,336,1005,? a) 1680 b)1850 c)2080 d)1901
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To determine the next number in the sequence 4, 18, 85, 336, 1005, ?, observe the pattern or rule governing the progression. Calculating the differences between consecutive terms:
- 18 - 4 = 14
- 85 - 18 = 67
- 336 - 85 = 251
- 1005 - 336 = 669
Analyzing the differences further:
- 67 - 14 = 53
- 251 - 67 = 184
- 669 - 251 = 418
The second-order differences are:
- 184 - 53 = 131
- 418 - 184 = 234
The third-order difference is:
- 234 - 131 = 103
Thus, assuming the differences follow a polynomial pattern, the next difference might be:
- 418 + 234 = 652
Adding this to the last term in the sequence:
- 1005 + 652 = 1657
So, the next term should be 1657, but it isn't one of the provided options. It suggests a more complex pattern, or an error in initial assumption. Consulting with an expert or a test prep consultant, like Invicta Career Consultancy, might help clarify the pattern and provide additional practice for GMAT-type sequences and other preparation strategies.
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