The F2 generation ratio of 1/4 red flowered, 1/2 pink flowered, and 1/4 white flowered individuals in a Mendelian monohybrid cross indicates that the trait being studied is determined by a single gene with two alleles, where one allele is completely dominant over the other.
In this case, the cross was most likely between a homozygous dominant parent (RR) and a homozygous recessive parent (rr), where R represents the dominant allele for flower color and r represents the recessive allele. The F1 generation, which is the first generation of offspring, would all be heterozygous (Rr) and display the dominant trait (pink flowers).
When the F1 generation is allowed to self-fertilize, the resulting F2 generation will have a 1:2:1 genotype ratio of RR:Rr:rr and a 3:1 phenotype ratio of dominant (red and pink) to recessive (white). This is consistent with a monohybrid cross involving a single gene with complete dominance. The observed ratio of 1/4 red, 1/2 pink, and 1/4 white flowers in the F2 generation is a classic example of a 3:1 ratio that is predicted by Mendelian genetics.