Question

From the sequences 0, 3, 6, 9, 12, 15 and 2, 4, 6, 8, 10, 12,..., how can you determine the next number in each sequence?

A) Add 2 to the previous number in both sequences.
B) Subtract 3 from the previous number in both sequences.
C) Add 3 to the previous number in the first sequence and add 2 to the previous number in the second sequence.
D) Alternate between adding 3 and 2 to the previous numbers in the sequences.

Answer 1

To find the next number in the sequences, add 3 to the last number in the first sequence to get 18, and add 2 to the last number in the second sequence to get 14. The correct answer is option C.

Step-by-step explanation:

To determine the next number in each of the given sequences, we need to analyze the pattern within the sequences themselves. Let's look at each sequence separately:

• For the first sequence 0, 3, 6, 9, 12, 15, we observe that each number increases by 3 from the previous one. Therefore, to find the next number, we add 3 to the last number given, which is 15 + 3 = 18.
• In the second sequence 2, 4, 6, 8, 10, 12, every number increases by 2 from the previous one. So, we will also add 2 to the last number, which is 12 + 2 = 14.

Accordingly, the answer to the question is C, "Add 3 to the previous number in the first sequence and add 2 to the previous number in the second sequence.