The spelling of the word "Pearsson" can be explained using the International Phonetic Alphabet (IPA) transcription. In IPA, the first syllable "Pea" is pronounced as /piː/, with a long "ee" sound. The second syllable "rsso" is pronounced as /ɹsəʊ/, with a silent "r" and a long "o" sound. The final "n" is pronounced as /n/, with a short "n" sound. Thus, the correct spelling of this word is "Pearsson" with a long "ee" sound in the first syllable and a silent "r" in the second syllable.