'differences between the wo kinds of Cosmos sequence errors

i'd like to know the difference between the below two kinds of errors:

account sequence mismatch, expected N+1, got N: incorrect account sequence
signature verification failed; please verify account number (X), sequence (Y) and chain-id (Z): unauthorized

for #2, assume that the account number and chain-id are correctly provided.

From my experience, #1 means the provided sequence is smaller than expected. while #2 means the provided sequence is larger than expected.

can we say so?

blockchain cosmos

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