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Shall- largely unused in American English. In British English it is used in questions (What shall I do? Shall we go?). It can be used for I/we instead of 'will'; this tends not to be used in colloquial texts, but is used in formal texts. 2nd and 3rd person + shall is used to show extra willpower on the part of the speaker (Oh yes, you shall!)
Note that in any English dialect, only shall applies for invitations. "Will we dance?" is ridiculous, while "Will we have coffee in the living room?" would make guests wonder how much wine the host or hostess has consumed.
The difference between Shall and Will. 
Linear Mode
