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Answer :
To determine the incorrect term in the series 17, 44, 98, 186, 422, we need to identify a consistent pattern or rule that applies to all the terms in the sequence and see which term does not fit.
Let's analyze the given series:
The sequence appears to involve multiplication or addition based on the incremental increase. One way to approach this series is to find a pattern that could generate a specific sequence of numbers involving multiplication or addition of differences.
Step-by-Step Analysis
First Difference Calculation
[tex]44 - 17 = 27[/tex]Second Difference Calculation
[tex]98 - 44 = 54[/tex]Third Difference Calculation
[tex]186 - 98 = 88[/tex]Fourth Difference Calculation
[tex]422 - 186 = 236[/tex]
Observations:
- The differences between consecutive terms are 27, 54, 88, and 236.
- The difference sequence isn't following a simple arithmetic or geometric progression.
Let's try a different approach of pairing and checking. Suppose the sequence follows a multiplied pattern.
- Consider possible multiplication patterns within adjacent differences.
- Use patterns like multiplication by increasing integers or their sums.
Checking Each Term
- 44 is roughly double 17 plus a small number: [tex]17 \times 2 + 10 = 44[/tex], close to 44.
- 98 could follow a similar pattern deviation: but doesn't match exactly as the pattern diverges.
Re-evaluation
It seems 98 fails if a pattern like the double increase or specific multiplication pattern were followed.
Conclusion
After testing different simple arithmetic and multiplicative patterns, 98 doesn’t follow a consistent, logical increase compared to others if alleged unique factors applied accurately.
Therefore, the incorrect term in the sequence is C) 98.
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