Question

he startled when he heard a conspiratorial whisper in his ear. \six.\ he turned to see his neighbor professor horgan, who taught math at the city college nearby and often rode the same bus as jayson.

smiling gratefully at her, jayson started over, but he was able to remember only two more digits after the 6 and then he faltered again.

\try creating a mnemonic,\ professor horgan suggested, but jayson only gave her a puzzled look, so she offered an explanation. \it is a memory trick, like using roygbiv to remember the colors of the rainbow. you know: red, orange, yellow, and so on.\

why does jayson smile at professor horgan?
a. he recognizes her from the neighborhood.
b. he appreciates her company at the bus stop.
c. she gives him the next digit in the pi sequence.

Explanation:

The text states Jayson was struggling to remember digits, and Professor Hogan whispered a digit ("Six") to help him. He smiled gratefully at her, which shows he appreciates her help with the pi sequence digit. The other options are incorrect: the text says he already knows her as a neighbor, so recognition isn't the reason; there's no mention of appreciating company specifically, just her help.

Answer:

C. She gives him the next digit in the pi sequence.