Number Sequences and Skip Counting Practice Problems

To solve this problem, we will continue the sequence $20,000, 20,001, 20,002, \ldots$ by adding 1 to the last number provided.

• Start with the last number in the sequence, which is $20,002$.
• Step 1: Add 1 to $20,002$ to get $20,003$.
• Step 2: Add 1 to $20,003$ to get $20,004$.
• Step 3: Add 1 to $20,004$ to get $20,005$.

Thus, the continuation of the sequence is $20,003, 20,004, 20,005$.

Therefore, the correct answer is choice 1: $20,003,20,004,20,005$.

To solve the problem of completing the sequence $20, \ldots, 24, 26, \ldots, \ldots$, we recognize the sequence's underlying pattern.

Step 1: Analyze known terms.
The given sequence begins with $20, \ldots, 24, 26, \ldots, \ldots$. Notice the known terms $20$ and $24$, and $26$.

Step 2: Determine the difference between known terms.
The difference between $24$ and $20$ is $4$, suggesting an ongoing pattern.
Between $26$ and $24$, the difference is $2$, proposing alternation in differences or a complete oversight of interspersed terms around $26$.

Step 3: Determine full sequence consistency.
Check if numbers align with a two-step even-number sequence, which implies adding $2$ successively.
Extending forward and back confirms $20, 22, 24, 26, 28, \ldots$.

Step 4: Verification considering other instructions.
The sequence appears to be a straightforward arithmetic one comprising purely even numbers beginning from $20$. This step requires confirming subsequent numbers $28, 30$.

Conclusion: Sequential confirmation proves the arithmetic nature of the understanding, yielding:

$20,22,24,26,28,30$

To solve this problem, we'll follow these steps:

• Step 1: Determine the common difference by looking at the known terms, 21 and 19.
• Step 2: Apply the common difference to find the missing terms in the sequence.
• Step 3: Verify the sequence pattern to ensure accuracy.

Now, let's work through each step:

Step 1: The common difference between 21 and 19 is 2. Thus, each number in the sequence is reduced by 2 from the previous one.

Step 2: Starting from 25, subtract 2 to fill in the first gap: $25 - 2 = 23$. Now the sequence is 25, 23, ..., 21, 19.

From 19, subtract 2 to fill in the next gap: $19 - 2 = 17$, then $17 - 2 = 15$. Thus, the complete sequence is:

$25, 23, 21, 19, 17, 15$

Therefore, the solution to the problem is $25, 23, 21, 19, 17, 15$.

To solve this problem, we'll identify whether the sequence follows a recognizable pattern. The sequence so far is $5, 7$.

Let's determine whether it follows an arithmetic sequence:

• First Term ($a_1$) = 5
• Second Term ($a_2$) = 7
• The Common Difference ($d$) = $7 - 5 = 2$

Assuming a consistent common difference, the sequence appears to be an arithmetic sequence increasing every term by 2.

Let's calculate the next few terms:

• Third Term ($a_3$) = $7 + 2 = 9$
• Fourth Term ($a_4$) = $9 + 2 = 11$
• Fifth Term ($a_5$) = $11 + 2 = 13$

Thus, the full sequence is: $5, 7, 9, 11, 13$.

A review of the multiple-choice options shows that the correct answer is given by choice 1: $5, 7, 9, 11, 13$.

Therefore, the complete sequence is $5, 7, 9, 11, 13$.

To solve this problem, we need to identify the pattern in the sequence provided, which initially lists the numbers $1$ and $3$.

First, observe the given numbers: $1$ and $3$.

The difference between the first term $1$ and the second term $3$ is:
$3 - 1 = 2$.

This suggests a common difference of $2$, implying that the sequence is likely an arithmetic sequence where each term increases by $2$.

We can use this observation to predict the next terms in the sequence:

• Starting with $1$, add the common difference $2$:
  $1 + 2 = 3$.
• From $3$, add the common difference $2$:
  $3 + 2 = 5$.
• Continuing this pattern, from $5$, add $2$:
  $5 + 2 = 7$.
• And from $7$, add the common difference $2$:
  $7 + 2 = 9$.

Thus, the sequence can be extended as:
$1, 3, 5, 7, 9$.

From the possible choices, the correct sequence is represented by choice 4.

Therefore, the correct answer to the problem is $1, 3, 5, 7, 9$.