Complete the Arithmetic Sequence: 780, 770, 760, ...

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

The given sequence is: $780, 770, 760, \ldots$

Observe the first two terms: $780$ and $770$. Notice that:

• $770 - 780 = -10$

This indicates that each term decreases by 10. Applying the same logic to the next term:

• $760 - 770 = -10$

Therefore, the sequence is an arithmetic sequence where each term decreases by 10 from the previous one.

To find the next three terms, subtract 10 from the last given term, $760$.

• Next term: $760 - 10 = 750$
• Next term: $750 - 10 = 740$
• Next term: $740 - 10 = 730$

Thus, the completed sequence is $780, 770, 760, 750, 740, 730$.

Comparing with the provided multiple-choice answers, the appropriate choice is:

$750,740,730$