Complete the Sequence: Find the Next Number Following 955, 1000, 1005

To solve this problem, let's follow these steps:

• Step 1: Calculate the differences between consecutive terms of the sequence.
• Step 2: Use the common difference to find the next terms.
• Step 3: Verify the result with the provided answer choices.

Step 1: Calculate the differences:
The difference between the first and second terms is $1000 - 955 = 45$.
The difference between the second and third terms is $1005 - 1000 = 5$.

Step 2: Identifying that the sequence alternates increases, first by 45 and then by 5, we predict it continues by adding 5. Thus, extending the sequence, the next terms would be:
$1005 + 5 = 1010$,
$1010 + 5 = 1015$,
$1015 + 5 = 1020$.

Therefore, the next terms in the sequence are $1010, 1015, 1020$.

Step 3: Verify against provided answer choices. The correct choice is:

$1010,1015,1020$

The next numbers in the sequence are $1010, 1015, 1020$.