Sequences / Skips up to a million: Consecutive numbers

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 complete the sequence $20{,}155, 20{,}154, 20{,}153, \ldots$, follow these steps:

• Step 1: Identify the sequence pattern.
• Step 2: Notice that each term decreases by 1 from the previous term.
• Step 3: Continue the pattern by subtracting 1 from the last known term.

Let's work through the steps:

Step 1:
The sequence given is: $20{,}155, 20{,}154, 20{,}153, \ldots$.
Step 2:
Observe that the first term $20{,}155$ is reduced to $20{,}154$, then to $20{,}153$, establishing a pattern of subtracting 1.
Step 3:
Using this pattern, find the next terms:
From $20{,}153$, subtract 1 to get $20{,}152$.
From $20{,}152$, subtract 1 to get $20{,}151$.
From $20{,}151$, subtract 1 to get $20{,}150$.

Therefore, the sequence continues as follows: $20{,}152, 20{,}151, 20{,}150$.

To solve this problem, we'll analyze the sequence pattern:

• Step 1: Identify the difference between the first two numbers:
  $305{,}501 - 305{,}500 = 1$.
• Step 2: Since the numbers decrease by 1 from one term to the next, apply this pattern to determine the next numbers:
• Step 3: Calculate the next three numbers:
• The third number: $305{,}500 - 1 = 305{,}499$
• The fourth number: $305{,}499 - 1 = 305{,}498$
• The fifth number: $305{,}498 - 1 = 305{,}497$

Therefore, the next three numbers in the sequence are $305{,}499, 305{,}498, 305{,}497$.

To solve this problem, follow these steps:

• Step 1: Identify the pattern in the given sequence. The sequence starts at 200,000 and then 201,001. To find the pattern, we look at the difference between these two terms.
• Step 2: Calculate the difference between 201,001 and 200,000. The difference is $201,001 - 200,000 = 1,001$.
• Step 3: Confirm if the pattern continues with a constant difference by checking the next term. Since we're identifying a regular sequence, it's logical here to see if it proceeds similarly.
• Step 4: Use the identified difference of 1,001 to find the next term after 201,001 by adding the common difference. However, this shows a misunderstanding based on re-check of problem type; normally each number would progress similarly, confirm simple mistake not made leading correct sequence suggestion.
• Step 5: Recognize correcting issue in noticing empirical shown sequence need consistency: adding by 1 instead smaller regular addition than expected from less standard input. After reevaluating initial understanding: progression finds next few regular consecutive integers since no harder deviation.

As a result, the sequence is completed as follows:

• Next term after 201,001 is: $200,002$
• Following term: $200,003$
• Subsequent term: $200,004$

Therefore, the completed sequence is $200,002,\ 200,003, \ 200,004$.