PG entrance exam IIT JAM 2025 Mock Test Mathematical Science Analysis Sequences & Series (Convergence)
Let {\(b_n\)} be a sequence of real numbers.
Statement P: If \(\sum_{n=1}^{\infty} b_n \) converges absolutely, then \(\sum_{n=1}^{\infty} b^4_n\) converges absolutely.
Statement Q: If \(\sum_{n=1}^{\infty} b_n \) converges ,then \(\sum_{n=1}^{\infty} b^2_n\) converges.
1
Only P is True Q is False.
2
Both P and Q are False.
3
Both P and Q are True.
4
Only Q is True P is False.