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Find the missing term in the following series ?
9, 10, 22, 69, 280, ?
1408
1525
1323
1234
1405
- Let's analyze the series: 9, 10, 22, 69, 280, ?
- The differences between terms are:
- 10 - 9 = 1
- 22 - 10 = 12
- 69 - 22 = 47
- 280 - 69 = 211
- Notice that these differences don't suggest a simple arithmetic or geometric progression.
- However, observe that the differences themselves grow rapidly. Let's check if a quadratic relation might work.
- Often in such sequences, the differences between terms increase by factorials or exponential functions.
- Analyzing the pattern:
- The differences: 1 (1!, factorial),
- 12 (3*4, or a step increment by 4),
- 47 (22 + 3^2, additionally progressed),
- 211 (69 + (69 * patterns)), potentially
- Projecting forward:
- The last leap suggests an expansion, potentially involving squaring:
- Test calculation: next term might involve manipulated 280 (last known entry), the leap more aligns with cubic trait applications or exponentials.
- Option 1: 1408 - Close but less likely given step requirement.
- Option 2: 1525 - Needs checking for broader leap.
- Option 3: 1323 - Stay representation-wise closer to needing span of relation. However time-scaling through consistency:
- Option 4: 1234 - too condensed for pattern.
- ? Option 5: 1405 - Copious increment likely, yet checked at value increment region, effectively closer.
By: Parvesh Mehta ProfileResourcesReport error
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