Final answer:
The statement is true; FSH stimulates granulosa cell multiplication, follicle enlargement, and LH stimulates theca cells to produce androgens, which are precursors to estrogen.
Step-by-step explanation:
The statement that FSH stimulates the granulosa cells to multiply and enlarge the follicles, while LH prompts the theca cells to produce androgens is true. In the female reproductive system, the hypothalamus secretes GnRH, which in turn prompts the anterior pituitary to release gonadotropins, FSH and LH. FSH predominantly stimulates the growth of the ovarian follicles and granulosa cells, while LH acts on the theca cells, stimulating them to produce androgens which are then converted to estrogens by the granulosa cells in response to FSH and LH. Estrogen is mainly responsible for signaling systemic changes in the follicular phase of the ovarian cycle, such as the preparation of the uterus for potential pregnancy.