The theme of chapter five was the worthiness of the Lamb - Jesus Christ, crucified, risen and exalted - to open the seals of the book of the will of Almighty God for this world - Revelation 5:7-9.
When you study Revelation you have to remember you are studying a book about another book. This sealed book - the one the Lamb is worthy to open - is what the rest of the book of Revelation is about. John is going to talk about three very important "sevens" in the rest of the book of Revelation.
The first group of seven is the seven seals. These are dealt with in chapters 6 through 8. The second group of seven is the seven trumpets. These are dealt with in chapters 8 through 12. The third group of seven is the seven bowls. They are quickly described in chapter 16 (though their effect carries on through chapters 17 and following).
Now there is one point I want to underscore today. If there is one interpretive key to understanding the whole book of Revelation, I believe this is it. If you don't get this one point right you will have a very hard time understanding how the rest of the book fits together.
Here is the key point: These three sets of seven do not follow each other in sequence. They overlap each other and build in intensity. Many people have typically interpreted these three sevens as following on the heels of each other simply because that's the way the visions of these sevens came to John.