Under ideal PCR condition Starting with a single copy of the

Under ideal PCR condition, Starting with a single copy of the target gene, calculate the number of gene copies  in solution after 30 cycles of replication?

Please explain in detail and let me know if the equation 2^(cycle # +1) would work. thanks

Solution

for example you start with 2 templates (1 piece of dsDNA). How many pieced do you have after 1 cycle? (4).
And after a second cycle ? (8) and a third? (16) ... you a pattern here?

N_n=N₀X.2ⁿ with N₀is your start template (how many pieced you have for the primers to attach to), N_nis the number copies of DNA you have, with small n the #of cycles.

N_n= 2* 2³⁰