Final answer:
When genes are located close to each other on the same chromosome, recombination can occur, resulting in new combinations of alleles. Therefore, a recombinant progeny class may be observed in the next generation.
Step-by-step explanation:
When two genes are located close to each other on the same chromosome, they tend to be inherited together and show linkage. In this scenario, genes A and B are 20 cm apart, so there is a possibility of recombination occurring between them. Recombination is the process where genetic material is exchanged between homologous chromosomes during meiosis. If a crossover event happens between genes A and B, it can result in new combinations of alleles. Therefore, a recombinant progeny class may be observed in the next generation.
For example, if the A B/A B individual is mated with the A B/A B individual and a crossover event occurs between genes A and B, it can produce two types of recombinant progeny: A b and a B. These recombinant progeny classes have different allele combinations compared to the parental genotypes. So, the statement is true, and you might observe a recombinant progeny class in the next generation.