To Invite
する verb
You beckon someone to come to you, but then you wait. This is because they aren't really near you, so your beckon is more like an invitation. That's why this word means to invite .
招待する is a formal word for inviting someone, particularly to formal events or places.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
チャーリーが、今度チョコレート工場に招待するよって言ってくれたんだ！
Charlie said he's inviting me to the chocolate factory next time!
トーフグのクリスマス会に招待されたが、インフルエンにかかって行けなかった。
I was invited to the Tofugu Christmas party, but I caught the flu and couldn't go.
ウェディングパーティーには何人ぐらい招待するつもりなの？
How many people are you planning to invite to the wedding party?
どのお友達を誕生日会に招待するか決めましたか。
Have you decided which friends to invite over for your birthday party?