Posted by shayla on Monday, August 28, 2006 at 7:16pm.
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
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