What will come at the place of question mark? 1, 9, 31, 73, 141, ?

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Accepted Answer

1. Compare each term with $n^3$ for $n=1,2,3,4,5$.  
2. Compute: $1-1=0=0^2$, $9-8=1=1^2$, $31-27=4=2^2$, $73-64=9=3^2$, $141-125=16=4^2$.  
3. So the rule is $t_n = n^3 + (n-1)^2$.  
4. For $n=6$: $t_6 = 6^3 + 5^2 = 216 + 25 = 241$.  
FINAL_ANSWER: <a>

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