1. The given sequence is 2, 3, 5, 7, 11, 13,... 2. This sequence consists of prime numbers: numbers greater than 1 that have no positive divisors other than 1 and themselves. 3. To find the next three terms, identify the next three prime numbers after 13. 4. The prime numbers after 13 are 17, 19, and 23. 5. Therefore, the next three terms of the sequence are 17, 19, and 23. 6. The rule for the nth term (denoted as $a_n$) is: $a_n$ = the nth prime number. 7. There is no simple formula for the nth prime number, but it follows the definition of primes and increasing order.