2nd grade number patterns
Number Series
I am having problems with these 2
3 2 6 4 9 6 12 8 (what should be next?)
3 6 9 12 9 6 3 6 (what should be next?)
15
12
I know the top one is 15 because is goes 3 then 2 down then add 3 to the previous number(3) so that's 6 then 2 down etc.
for the second one i don't think its 12 i think its 9 because it goes up from 3 to 12 then starts counting down then when it gets to 3 it counts up again so the next one after 6 would be 9 :)
To solve these number pattern problems, we need to observe the given sequence and look for any patterns or relationships between the numbers. Let's analyze each problem separately:
1. 3 2 6 4 9 6 12 8 (what should be next?)
Looking at the sequence, we can see that it alternates between two different patterns. The first pattern seems to be subtracting numbers by 1. The second pattern appears to be doubling the numbers.
Pattern 1: Subtracting by 1
Starting with 3, we subtract 1 to get 2. Then, we add 4 and subtract 1 to get 6. Next, we add 3 and subtract 1 to get 4. This pattern continues.
Pattern 2: Doubling the Numbers
Starting with 2, we double it to get 4. Then, we double 3 to get 6. Next, we double 4 to get 8. This pattern also continues.
To determine what comes next, we need to identify which pattern is currently in use. Since we started with Pattern 1 (subtracting by 1), the next number should follow this pattern. Therefore, 8 minus 1 equals 7. So, the next number in the sequence should be 7.
2. 3 6 9 12 9 6 3 6 (what should be next?)
Looking at the sequence, we can identify two patterns: an increasing pattern and a repeated pattern.
Pattern 1: Increasing by 3
In this pattern, each number increases by 3. Starting with 3, we add 3 to get 6. Then, we add 3 again to get 9. This pattern continues.
Pattern 2: Repeated Pattern
After reaching 12, the sequence starts to repeat itself. It goes back to 9, then 6, and finally, 3.
To determine what comes next, we need to continue the repeating pattern. After 3, the next number should be 6. So, the next number in the sequence should be 6.
By analyzing and identifying the patterns in the given sequences, we can accurately determine the next numbers in each series:
1. 3 2 6 4 9 6 12 8 -- Next number: 7
2. 3 6 9 12 9 6 3 6 -- Next number: 6