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Determine the rule that satisfies each of the following sequence
1.) 2,7,12,17,...
2.) 4,8,12,16,...
3.) 6,10,14,18,...
4.) -5,-3,-1,1,3,...​

Sagot :

Step-by-step explanation:

Determining the Rule for Each Sequence

Let's analyze each sequence to determine the rule that generates the numbers:

Sequence 1: 2, 7, 12, 17, ...

In this sequence, each number is increasing by 5. The rule for this sequence is adding 5 to the previous number.

Sequence 2: 4, 8, 12, 16, ...

In this sequence, each number is increasing by 4. The rule for this sequence is adding 4 to the previous number.

Sequence 3: 6, 10, 14, 18, ...

In this sequence, each number is increasing by 4. The rule for this sequence is adding 4 to the previous number.

Sequence 4: -5, -3, -1, 1, 3, ...

In this sequence, each number is increasing by 2. The rule for this sequence is adding 2 to the previous number.

Summary of Rules:

1. Sequence 1: Add 5 to the previous number.

2. Sequence 2: Add 4 to the previous number.

3. Sequence 3: Add 4 to the previous number.

4. Sequence 4: Add 2 to the previous number.

These rules can be used to generate the next numbers in each sequence based on the given patterns.

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