11205 Pattern rule: Start at 1. Multiply by 7, and subtract 2.
11205 The number you're adding keeps getting multiplied by 7.
It is possible to find a polynomial of degree 5 such that it can be made to fit the pattern of the above five numbers and any number at all that is chosen to be the eighth. However, the simplest polynomial of degree 4 is Un = 36n4 - 336n3 + 1128n2 - 1568n + 741 for n = 1, 2, 3, ... and accordingly, the 8th term is 35,813.
229
33
4.5455
15-56_45
23 28 33 38 43 48 53 (+5...)
The pattern rule is: 4 5 6 7 8 and so the next number will be 33+9 = 42
------- ------------- ----- ------ 0.005 ---- ------ ---- ---- 0.010
+6 - 66
6, 15, 24, 33, 42, 51, 60