Complete the following number patterns by finding the rule and calculating the next three terms: b) 538, 547, 556, , , c) 729, 629, 529, , , d) 347, 354, 361, , , ___

$$547 - 538 = 9$$ $$556 - 547 = 9$$

The pattern is to add 9.

$$556 + 9 = 565$$ $$565 + 9 = 574$$ $$574 + 9 = 583$$

The completed sequence is: $538, 547, 556, \boxed{\textbf{565}}, \boxed{\textbf{574}}, \boxed{\textbf{583}}$

$$629 - 729 = -100$$ $$529 - 629 = -100$$

The pattern is to subtract 100.

$$529 - 100 = 429$$ $$429 - 100 = 329$$ $$329 - 100 = 229$$

The completed sequence is: $729, 629, 529, \boxed{\textbf{429}}, \boxed{\textbf{329}}, \boxed{\textbf{229}}$

$$354 - 347 = 7$$ $$361 - 354 = 7$$

The pattern is to add 7.

$$361 + 7 = 368$$ $$368 + 7 = 375$$ $$375 + 7 = 382$$

The completed sequence is: $347, 354, 361, \boxed{\textbf{368}}, \boxed{\textbf{375}}, \boxed{\textbf{382}}$