Talking about How to solve the sequence: $87, 89, 95, 107, ?, 157$ for example, I read the hint:
The difference between each term goes like this: 2,6,12. Can you notice any pattern? Based on it, can you prove that the next term in it is 20?
and then I could solve it.
My question is how to solve these type of questions without guess work.
What topic of Maths or thinking process would enable me to understand and solve these type of problems?