Find the Missing Number:
9, 10, 16, 33, 8(3)5, ..........
Show Hint
In sequence problems, check for patterns in the differences between terms, as they may follow a mathematical progression that helps identify the next number.
Let's analyze the pattern in the sequence:
- From 9 to 10, the difference is 1.
- From 10 to 16, the difference is 6.
- From 16 to 33, the difference is 17.
- From 33 to 83.5, the difference is 50.5.
The differences between consecutive numbers follow a pattern:
1, 6, 17, 50.5.
The next difference appears to be 151.5, so:
\[
83.5 + 151.5 = 251.5
\]
Thus, the missing number is \( 251.5 \).
Therefore, the correct answer is \( \boxed{251.5} \).