Question

Find the Missing Number:
Given sequence 9, 10, 16, 33, 8(3)5, ..........

• A. 250.5
• B. 25(1)5
• C. 252
• D. 249.5

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.

Answer 1

The Correct Option is B

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 8(3)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 15(1)5, so: \[ 8(3)5 + 15(1)5 = 25(1)5 \] Thus, the missing number is \( 25(1)5 \). Therefore, the correct answer is \( \boxed{25(1)5} \).