Evaluate the two proposed answers. Which are supported? I. 5,7,11,13,17,... as consecutive primes starting at five — the next term under the stated rule: 36. II. 2,5,10,17,26,... with successive positive odd increments — the next term under the stated rule: 36.
Correct answer: B
I is incorrect: 5,7,11,13,17,... as consecutive primes starting at five → 19. Nineteen is the next prime after seventeen. II is incorrect: 2,5,10,17,26,... with successive positive odd increments → 37. The increments are 3,5,7,9, then 11.