Question

What is the pattern in the sequence 2, 5, 10, 17, 28, 41, 58, 77, 100?

Answer 1

The difference between each term and the next is the next odd prime number.

Explanation:

Let `p_0 = 2`, `p_1 = 3`, `p_2 = 5`, `p_3 = 7`,... be the prime numbers.

Then `a_0 = 2` and `a_(i+1) = a_i + p_(i+1)`