Complete the Sequence: Finding the Next Term After 25, 35

To solve this problem, we need to identify the pattern in the sequence and continue it.

Step 1: Find the pattern
Let's examine the difference between the consecutive terms given:
$35 - 25 = 10$

The difference between the first and second terms is 10, which suggests this is an arithmetic sequence with a common difference of $d = 10$.

Step 2: Continue the sequence
In an arithmetic sequence, we add the same value (common difference) to each term to get the next term. Starting with our given terms and adding 10 repeatedly:

• First term: $25$
• Second term: $25 + 10 = 35$
• Third term: $35 + 10 = 45$
• Fourth term: $45 + 10 = 55$
• Fifth term: $55 + 10 = 65$

Step 3: Verify the pattern
We can verify that this sequence follows a consistent pattern of "counting by tens" or "increases of tens" as indicated in the problem description. Each term increases by exactly 10 from the previous term.

Therefore, the complete sequence is $25, 35, 45, 55, 65$.