ENG1005 MUM S2 2025 Kick Starting Week 11: Lecture Quiz 11 (Total mark for all 12 weeks of lecture quizzes is 5%)

Suppose the power series \(\displaystyle \sum_{n=1}^{\infty}a_nx^n\) has radius of convergence 4, then the series \(\displaystyle \sum_{n=1}^{\infty}a_n2^n\)