determine the next three numbers in this pattern:
2,3,5,7,11,13,17,19,23,___,___,___
Aren't these all prime numbers?
Find the next three numbers in the pattern. 5,2,-1,-4
3,2,0,-3,-7
-8,-6,-2,4,12
-5,-7,-8,-10,-11
The first pattern looks like all primes, so the next numbers in the sequence would be
29, 31, 37
______________
5, 2, -1, -4
You subtract three to get the next number, so the next three numbers would be
-7, -10, -13
______________
3, 2, 0, -3, -7
To get the second term, you subtract 1 (3-1 = 2)
To get the third term, you subtract 2 from the 2nd term (2-2 = 0)
. . . To get the (n+1)th term you subtract n-1 from the nth term
The next numbers would be -12, -18, -25
______________________
-8, -6, -2, 4, 12
To get second term, you add 2 to the first term;
To get the third term, you add 4 to the second term;
To get the (n+1)th term, you add (n-1)*2 to the nth term
The next terms in the sequence are
12 + 8, 12 + 8 + 10, 12 + 8 + 10 + 12
= 20, 30, 42
__________________
-5, -7, -8, -10, -11
This looks like you alternating between adding -2 and -1; The next three terms would be
-13, -14, -16
i hate you all ! JK love all you guys! <3
To determine the next three numbers in the first pattern (2, 3, 5, 7, 11, 13, 17, 19, 23), we can observe that these numbers represent prime numbers, which are numbers divisible only by 1 and themselves. To find the next prime numbers, we would need to continue searching for consecutive prime numbers.
To find the next three prime numbers, we can use the following steps:
1. Start with the last number in the given pattern, which is 23.
2. Increment the last number by 1 to get the next number.
3. Check if the new number is a prime number. If it's not, go back to step 2 and increment again until a prime number is found.
4. Once a prime number is found, add it to the pattern.
5. Repeat steps 2-4 twice more to find the next two prime numbers.
Using this method, the next three prime numbers in the pattern are: 29, 31, and 37.
Thus, the complete pattern becomes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37.
Now, let's move on to the second pattern: 5, 2, -1, -4.
To find the next three numbers in this pattern:
1. Observe that the pattern seems to be decreasing by 3 each time.
2. Continue this decreasing pattern by subtracting 3 from the last number (-4):
-4 - 3 = -7
3. Repeat this step two more times:
-7 - 3 = -10
-10 - 3 = -13
Thus, the next three numbers in this pattern are: -7, -10, and -13.
So, the complete pattern becomes: 5, 2, -1, -4, -7, -10, -13.
Follow the same process for the remaining patterns to find the next three numbers.