Question:
What is the missing number in the following sequence? 97, 86, 73, __, 41, 22
What is the missing number in the following sequence? 97, 86, 73, __, 41, 22
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Always calculate the differences between consecutive terms; often the "difference of the differences" reveals the pattern.
Updated On: Jul 3, 2026
- 54
- 56
- 58
- 60
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The Correct Option is C
Solution and Explanation
Step 1: Concept
The sequence follows a subtraction pattern where the difference between terms increases by 2 each time.
Step 2: Meaning
Check the initial differences: $97 - 86 = 11$; $86 - 73 = 13$.
Step 3: Analysis
The differences are $11, 13$. The next logical difference is $15$. Subtracting $15$ from $73$ gives $73 - 15 = 58$.
Step 4: Conclusion
Verifying the rest: $58 - 17 = 41$; $41 - 19 = 22$. The differences ($11, 13, 15, 17, 19$) are consecutive odd numbers, confirming $58$. Final Answer: (C)
The sequence follows a subtraction pattern where the difference between terms increases by 2 each time.
Step 2: Meaning
Check the initial differences: $97 - 86 = 11$; $86 - 73 = 13$.
Step 3: Analysis
The differences are $11, 13$. The next logical difference is $15$. Subtracting $15$ from $73$ gives $73 - 15 = 58$.
Step 4: Conclusion
Verifying the rest: $58 - 17 = 41$; $41 - 19 = 22$. The differences ($11, 13, 15, 17, 19$) are consecutive odd numbers, confirming $58$. Final Answer: (C)
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