The second differences for the sequence 9, 33, 43, 69, 101... are -14, 16, 6. The lack of a constant second difference suggests a non-quadratic pattern, indicating a more complex relationship within the sequence.
To find the second difference for the given sequence (9, 33, 43, 69, 101...), we first compute the first differences and then find the differences of those differences. Let's calculate:
1st difference:
33 - 9 = 24
43 - 33 = 10
69 - 43 = 26
101 - 69 = 32
2nd difference:
10 - 24 = -14
26 - 10 = 16
32 - 26 = 6
Now, we have the second differences: -14, 16, 6. The second difference is not constant, indicating that the sequence may not follow a quadratic pattern. If the second difference were constant, it would suggest a quadratic relationship in the original sequence. In this case, the pattern is more complex and does not follow a simple quadratic rule.
The probable question may be:
What is the 2nd difference for 9,33,43,69,101...?