Answer:
95
Step-by-step explanation:
Let's take a look at what numbers we're adding to generate new numbers in the sequence:
From 4 to 5 is +1
From 5 to 9 is +4
From 9 to 18 is + 9
From 18 to 34 is + 16
From 34 to 59 is +25
So we have a sequences of additions: 1, 4, 9, 16, 25. Recognize these numbers? They're all perfect squares: [tex]1^2,2^2,3^2,4^2,5^2[/tex]. Following this pattern, we can get the next number in the sequence by adding [tex]6^2[/tex], or 36. This gives us the number 59 + 36 = 95.
