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Sagot :
Answer:
To find the next three terms in each sequence and cite the rule, let's analyze each sequence one by one:
1) 5, 11, 17, 23, ...
Looking at this sequence, we can observe that each term is obtained by adding 6 to the previous term. So, the rule for this sequence is to add 6 to the previous term to get the next term. Applying this rule, the next three terms would be 29, 35, 41.
2) 4, 12, 36, 108, ...
In this sequence, each term is obtained by multiplying the previous term by 3. So, the rule for this sequence is to multiply the previous term by 3 to get the next term. Applying this rule, the next three terms would be 324, 972, 2916.
3) -7, 14, 28, ...
In this sequence, each term is obtained by doubling the previous term. So, the rule for this sequence is to double the previous term to get the next term. Applying this rule, the next three terms would be 56, 112, 224.
4) 12, 17, 22, 27, ...
Looking at this sequence, we can observe that each term is obtained by adding 5 to the previous term. So, the rule for this sequence is to add 5 to the previous term to get the next term. Applying this rule, the next three terms would be 32, 37, 42.
Therefore, the next three terms for each sequence, along with their respective rules, are:
1) 29, 35, 41 (Rule: Add 6 to the previous term)
2) 324, 972, 2916 (Rule: Multiply the previous term by 3)
3) 56, 112, 224 (Rule: Double the previous term)
4) 32, 37, 42 (Rule: Add 5 to the previous term)
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