To solve the sequence problem 10, 9, 60, 90, 70, 66, ?, we need to identify the pattern or rule that governs the sequence. In this case, we are dealing with a number puzzle that involves alternating operations.
Let's analyze it step-by-step:
10 and 9 : If we notice the transition between these two numbers, it looks like simple subtraction: 10 - 1 = 9.
9 and 60 : This is a bit less straightforward. However, if you think of multiplying, you could say: 9 * 6 + 6 = 60.
60 and 90 : Another jump, but could fit a pattern of addition: 60 + 30 = 90.
90 and 70 : Here, a subtraction pattern could be seen: 90 - 20 = 70.
70 and 66 : We subtract again: 70 - 4 = 66.
Now, let's figure out what comes after 66 by considering consistent operations that fit the previous logic.
Based on the established alternating pattern (subtraction, multiplication and addition, subtraction, subtraction, subtraction):
If the next operation follows the pattern of multiplication like the shift from 9 to 60 (i.e., multiplying and some addition), the next operation could be:
66 * 1 + 25 = 91.
So, the Sequence: 10, 9, 60, 90, 70, 66, should follow with 91.
Therefore, the answer to the sequence puzzle is option 4), 91.