Class 11MathematicsSequences and Seriesnth term of special series, Sum to n terms and Infinite number of terms
EasyLet $a_n = (1^2 + 2^2 + \ldots + n^2)^n$ and $b_n = n^n(n!)$. Then
- A$a_n < b_n$ for all $n$
- B$a_n > b_n$ for all $n$
- C$a_n = b_n$ for infinitely many $n$
- D$a_n < b_n$ if $n$ is even and $a_n > b_n$ if $n$ is odd
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