Complete the Arithmetic Sequence: Finding Missing Terms in 60, 50, ..., 30

Complete the sequence:

$60,50,\ldots30,\ldots$

To solve this problem, we will identify and use the pattern within the given sequence:

Step 1: Start with the given numbers $60$ and $50$ .
Step 2: Calculate the difference between these two numbers. We have $60 - 50 = 10$ .
Step 3: Assume this difference will continue throughout the sequence. This assumption is necessary because it suggests a common arithmetic sequence structure.

Following these steps, we can complete the sequence:

First term is $60$ .

Second term is $50$ .

Based on the assumption of an arithmetic sequence with a common difference of $-10$ :

Third term: $50 - 10 = 40$ .

Fourth term: $40 - 10 = 30$ .

Continuing this pattern:
Fifth term: $30 - 10 = 20$ .
Sixth term: $20 - 10 = 10$ .

Therefore, the complete sequence is $60, 50, 40, 30, 20, 10$ .

$60,50,40,30,20,10$

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