This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
7$$
Here are the descriptions for each pattern:
a) Step 1: Observe the starting point and the first jump. The pattern starts at and jumps to . Step 2: Calculate the difference between the numbers. Step 3: Verify with the next jump. The next jump is from to . The pattern is adding 7 to the previous number.
b) Step 1: Observe the starting point and the first jump. The pattern starts at and jumps to . Step 2: Calculate the difference between the numbers. Step 3: Verify with the next jumps. The next jump is from to : . The next jump is from to : . The pattern is adding 7 to the previous number.
c) Step 1: Observe the starting point and the first jump. The pattern starts at and jumps to . Step 2: Calculate the difference between the numbers. Step 3: Verify with the next jumps. The next jump is from to : . The next jump is from to : . The pattern is adding 3 to the previous number.
d) Step 1: Observe the starting point and the first jump. The pattern starts at and jumps to . Step 2: Calculate the difference between the numbers. Step 3: Verify with the next jumps. The next jump is from to : . The next jump is from to : . The pattern is adding 3 to the previous number.
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a) Step 1: Observe the starting point and the first jump. The pattern starts at 18 and jumps to 25.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.