A series is given with one term missing. Select the correct alternative that will complete the series:

410, ?, 420, 425, 430, 435

The correct answer is 415.

To find the missing term in the given number series, let us analyze the relationship and pattern between the consecutive numbers:

410, ?, 420, 425, 430, 435

First, we determine the pattern by calculating the difference between adjacent known numbers in the sequence:

$425-420=5$

$430-425=5$

$435-430=5$

This shows that the sequence is an arithmetic progression where each term is formed by adding 5 to the previous term.

Now, applying this addition rule to the first term (410) gives the missing value:

$410+5=415$

We can verify our result by adding 5 to 415 to confirm if it yields the subsequent term in the series:

$415+5=420$

The calculation is confirmed to be correct. Therefore, the missing term that completes the series is 415.