Write a rule for the sequence
2,6,10,14
A.start with 2 and subtract 4 repeatedly
B. Start with 4 and add 2 repeatedly
C. Start with 2 and add 4 repeatedly
▶D. Start with to and add one add to at 3 and so on
2,4,8,16
A. Start with 2 and divided by 2 repeatedly ▶B. start with 2 and multiply by 2 repeatedly
C.start with 2 and add 2 repeatedly
D. start with 2 and multiply by 4 repeatedly
Find the next 3 terms of the sequence
3 6 9 12
A. 15 18 12
B. 15 19 21
▶C. 15 18 21
D. 14 18 21
Please respond?
To find the rule for the first sequence 2, 6, 10, 14:
C. Start with 2 and add 4 repeatedly.
Explanation: Each term in the sequence is obtained by adding 4 to the previous term.
To find the rule for the second sequence 2, 4, 8, 16:
B. Start with 2 and multiply by 2 repeatedly.
Explanation: Each term in the sequence is obtained by multiplying the previous term by 2.
To find the next 3 terms of the sequence 3, 6, 9, 12:
C. 15, 18, 21.
Explanation: Each term in the sequence is obtained by adding 3 to the previous term.
To find the rule for a sequence, we observe the pattern between the terms. Let's analyze each sequence and determine the correct rule:
Sequence 2, 6, 10, 14:
By comparing the terms, we can see that the common difference between the terms is 4. Since the numbers are increasing, the correct rule would be to start with 2 and add 4 repeatedly. Therefore, the answer is C.
Sequence 2, 4, 8, 16:
Here, the pattern between the terms is that each term is doubled from the previous term. Since the numbers are increasing, the correct rule would be to start with 2 and multiply by 2 repeatedly. Therefore, the answer is B.
Sequence 3, 6, 9, 12:
In this sequence, each term increases by 3. To find the next terms, we add 3 to the last term. Therefore, the next three terms would be 15, 18, 21. Thus, the correct answer is C.
Therefore, the correct answers are C, B, and C for the next three terms of each respective sequence.