need help finding next to values in following sequence
1,3,7,13,21,_,_
what is the difference between each numbers? 1 and 3? 7 and 13? 13 and 21? You'll see a pattern that will help you find the values in the following sequence.
Thanks!
To find the "next two" values in the given sequence, we need to identify the pattern or rule that governs the sequence.
Let's look at the differences between consecutive terms in the sequence:
3 - 1 = 2
7 - 3 = 4
13 - 7 = 6
21 - 13 = 8
The difference between consecutive terms seems to be increasing by 2 each time. This pattern suggests that the sequence is created by adding an increasing odd number to each term.
Let's continue this pattern to find the missing values:
21 + 10 = 31
31 + 12 = 43
Therefore, the next two values in the sequence are 31 and 43.
In summary, the pattern in the given sequence is that each term is obtained by adding an increasing odd number to the previous term. To find the "next two" values, we first identify this pattern and then continue it accordingly.