A method of producing a DNA strand for sequencing, comprising a) providing a template DNA polynucleotide comprising a first target DNA sequence interposed between a first adaptor 3' to the first target DNA sequence and a second adaptor 5' to the first target DNA sequence, and optionally comprising a third adaptor 3' to the first adaptor and a second target DNA sequence interposed between the first adaptor and the third adaptor, wherein the template DNA polynucleotide is immobilized on a substrate, b) combining a first primer with the immobilized template DNA polynucleotide, and hybridizing the first primer to a first primer binding sequence in the first adaptor, wherein the first primer is not immobilized on the substrate when it is combined with the immobilized template DNA polynucleotide; c) extending the first primer using one or more DNA polymerases to generate a second strand, wherein the second strand comprises a sequence complementary to the first target DNA sequence and a sequence complementary to at least part of the second adaptor; d) combining a second primer with the immobilized template DNA polynucleotide, hybridizing a second primer to a second primer binding sequence, wherein the second primer binding sequence is 3' to the first primer binding sequence, wherein the second primer is not immobilized on the substrate when it is combined with the immobilized template DNA polynucleotide; and e) extending the second primer to generate a third strand, wherein said extending comprises using a DNA polymerase having strand displacement activity to partially displace the second strand, thereby producing a partially hybridized second strand having: (i) a hybridized portion that is hybridized to the template DNA polynucleotide, and (ii) an unhybridized overhang portion that contains a sequence that is complementary to the first target DNA sequence and a sequence that is complementary to at least part of the second adaptor, wherein the unhybridized portion is 5' in the second strand to the hybridized portion a) providing a template DNA polynucleotide comprising a first target DNA sequence interposed between a first adaptor 3' to the first target DNA sequence and a second adaptor 5' to the first target DNA sequence, and optionally comprising a third adaptor 3' to the first adaptor and a second target DNA sequence interposed between the first adaptor and the third adaptor, wherein the template DNA polynucleotide is immobilized on a substrate, b) combining a first primer with the immobilized template DNA polynucleotide, and hybridizing the first primer to a first primer binding sequence in the first adaptor, wherein the first primer is not immobilized on the substrate when it is combined with the immobilized template DNA polynucleotide; c) extending the first primer using one or more DNA polymerases to generate a second strand, wherein the second strand comprises a sequence complementary to the first target DNA sequence and a sequence complementary to at least part of the second adaptor; d) combining a second primer with the immobilized template DNA polynucleotide, hybridizing a second primer to a second primer binding sequence, wherein the second primer binding sequence is 3' to the first primer binding sequence, wherein the second primer is not immobilized on the substrate when it is combined with the immobilized template DNA polynucleotide; and e) extending the second primer to generate a third strand, wherein said extending comprises using a DNA polymerase having strand displacement activity to partially displace the second strand, thereby producing a partially hybridized second strand having: (i) a hybridized portion that is hybridized to the template DNA polynucleotide, and (ii) an unhybridized overhang portion that contains a sequence that is complementary to the first target DNA sequence and a sequence that is complementary to at least part of the second adaptor, wherein the unhybridized portion is 5' in the second strand to the hybridized portion (i) a hybridized portion that is hybridized to the template DNA polynucleotide, and (ii) an unhybridized overhang portion that contains a sequence that is complementary to the first target DNA sequence and a sequence that is complementary to at least part of the second adaptor, wherein the unhybridized portion is 5' in the second strand to the hybridized portion