In this paper, a resistive-reactive series of continuous inverse modes is proposed for extending bandwidth of the series of Inverse continuous mode (SICM). A broadband class inverse F power amplifier (PA), which operates across 2.5-4.1 GHz (48.5% bandwidth), is designed by using bare GaN HEMT to prove this theory. Experiment results indicate that the PA mentioned above is able to output 9.1-18.4 W saturation power and the drain efficiency can reach 47%-75% in the whole interested band. The average output power of this designed PA is 14.2 W and the average drain efficiency is 60.1%.