Question:
What is the missing number in the following sequence? 50:65 :: 290 : __
What is the missing number in the following sequence? 50:65 :: 290 : __
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$(n^2 + 1)$ relationships are very common in analogies. Always check the bases for simple additions.
Updated On: Jul 3, 2026
- 170
- 226
- 260
- 325
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The Correct Option is D
Solution and Explanation
Step 1: Concept
The relationship involves a number squared plus one, where the base number increases by a specific amount.
Step 2: Meaning
Left side: $50 = 7^2 + 1$ and $65 = 8^2 + 1$. The base increases by 1 ($n^2+1$ to $(n+1)^2+1$).
Step 3: Analysis
Right side: $290 = 17^2 + 1$. Following the pattern, the next term should be $(17+1)^2 + 1 = 18^2 + 1$.
Step 4: Conclusion
Calculation: $324 + 1 = 325$. Final Answer: (D)
The relationship involves a number squared plus one, where the base number increases by a specific amount.
Step 2: Meaning
Left side: $50 = 7^2 + 1$ and $65 = 8^2 + 1$. The base increases by 1 ($n^2+1$ to $(n+1)^2+1$).
Step 3: Analysis
Right side: $290 = 17^2 + 1$. Following the pattern, the next term should be $(17+1)^2 + 1 = 18^2 + 1$.
Step 4: Conclusion
Calculation: $324 + 1 = 325$. Final Answer: (D)
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