-2,3,1,4,5,9,.... which is most likely the 10th value in the sequence??
Hint:
Reminds me of the Fibonacci numbers.
Okay... What does that mean?
This is a Fibonacci sequence, where the next term is the sum of two preceding terms. For instance the 3rd term (which is 1), is the sum of -2 and 3, and the 4th term (which is 4), is the sum of 3 and 1, and so on.
Therefore,
-2, 3, 1, 4, 5, 9, 14, 23, 37, 60, ...
To determine the most likely 10th value in the given sequence (-2, 3, 1, 4, 5, 9, ...), we need to identify a pattern or rule that governs how the sequence progresses. Let's analyze the given numbers:
-2, 3, 1, 4, 5, 9, ...
Looking at these numbers, we can observe that they are not following a clear arithmetic or geometric progression. To find a potential pattern, it may be helpful to consider the differences between consecutive terms:
(3 - (-2)) = 5
(1 - 3) = -2
(4 - 1) = 3
(5 - 4) = 1
(9 - 5) = 4
From these differences, we can see that they alternate between positive and negative values: 5, -2, 3, -1, 4.
To predict the 10th value, we can continue this pattern by assigning the next positive difference (4) to the next number in the sequence, followed by the next negative difference (-5), and so on.
Since the previous difference was positive (4), we can predict that the next number in the sequence will increase by 4.
So, starting from the last given number (9) and adding 4, we can estimate that the 10th value in the sequence is 13.
Therefore, the most likely 10th value in the sequence is 13.