math
posted by shayla on .
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 (31 = 2)
To get the third term, you subtract 2 from the 2nd term (22 = 0)
. . . To get the (n+1)th term you subtract n1 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 (n1)*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 
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