Rho‐independent transcriptional terminators in Escherichia coli usually consist of a GC‐rich region encoding a sequence which allows the nascent transcript to form a stem‐loop structure, and thereby apparently causes the RNA polymerase to pause; followed by an A‐rich region on the DNA template strand, whose weak pairing to the consequently U‐rich 3′‐tail of the transcript is believed to aid release of the RNA. Quite commonly there is additional symmetry encoding, in the RNA, an A‐rich sequence complementary to the ‘tail’, just upstream of the GC‐rich motif. It has been pointed out by others that this should allow the termination of transcription in both directions. We hypothesized that it might also increase the efficiency of termination, for example by competing with the template DNA strand so as to help ‘unzip’ the 3′‐end of the RNA from its complementary DNA. We have tested this hypothesis by deletion analysis of the hypersymmetric alpha‐operon terminator, tL17. The results show that efficiency as well as bidirectionality is indeed adversely affected by deletion of the upstream A‐rich sequence.