Ok it's me again. I'm am working on problems that involve describing number patterns. I've figured them all out but two.
Here are the two strings or numbers
7,9,13,19,27,;;;;
and
256, 16, 4, 2
Any help?
7+2=9+4=13+6=19+8=27 and so on. Basically it starts by adding 2 then for each next one it adds 2 so plus 2 then plus 4 and so on.
256 divided by 8=16 divided by 4=4 divided by 2=2 for this one the amount divided keeps getting cut down by 50%. Hope I helped. =)
ahhhh thank you, thank you, thank you!
Of course! I can help you with describing the number patterns for both of these examples.
Let's start with the first sequence: 7, 9, 13, 19, 27, ????
To understand the pattern, let's consider the differences between consecutive terms:
9 - 7 = 2
13 - 9 = 4
19 - 13 = 6
27 - 19 = 8
By examining the differences, we notice that they are increasing by 2 each time: 2, 4, 6, 8.
To find the next difference, we add the previous difference and 2:
8 + 2 = 10
Now, to find the next number in the sequence, we add this new difference to the last number:
27 + 10 = 37
Therefore, the missing number in the sequence is 37.
Now let's move on to the second sequence: 256, 16, 4, 2.
In this case, the pattern involves repeatedly dividing each number by 16 (or equivalently, taking the square root).
256 ÷ 16 = 16
16 ÷ 16 = 1
4 ÷ 16 = 0.25
2 ÷ 16 = 0.125
As we continue, the numbers will eventually approach but never reach zero.
Therefore, the missing numbers in this sequence would involve further divisions:
0.125 ÷ 16 = 0.0078125
0.0078125 ÷ 16 ≈ 0.00048828125
So, the missing numbers are approximately 0.0078125 and 0.00048828125.
I hope that helps! Let me know if you have any further questions or need additional assistance.