S = 5 + 52 + 53 + ... + 52020 + 52021
5S = 52 + 53 + 54 + ... + 52021 + 52022
5S - S = 52+53+54 + ... + 52021+52022-(5+52 + 53 +...+52020 + 52021)
4S = 52 + 53 + 54 + ... + 52021 + 52022 - 5 - 52- 53-... - 52021
4S = (52 - 52)+(53 - 53)+(54 - 54) +...+(52021- 52021) + (52022 - 5)
4S = 52022 - 5
4S + 5 = 52022 - 5 + 5
4S + 5 = 52022 (đpcm)