PG entrance exam IIT JAM 2025 Mock Test Mathematical Science Analysis Sequences & Series (Convergence)
Let S be the series \(\sum_{k=1}^{\infty} \frac{1}{(3k-1)} \times \frac{1}{2^{3k-1}}\)
and T be the series \(\frac{(3n-4)^{\frac{n-1}{3}}}{3n+2} \) of real numbers.
Then, which one of the following is true?
1
S is divergent and T is convergent.
2
Both the series S and T are divergent.
3
S is convergent and T is divergent.
4
Both the series S and T are convergent.