(2) How many terms of the arithmetic series $$ 3+7+11+\ldots $$.

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It appears that your question is incomplete. To determine the number of terms in the arithmetic series $$ 3 + 7 + 11 + \ldots $$, additional information is needed. Typically, you might be asked to find the number of terms based on one of the following:

1. **The Last Term**: If you know the value of the last term in the series, you can use the formula for the $$ n $$-th term of an arithmetic sequence to find $$ n $$:
   $$
   a_n = a_1 + (n-1)d
   $$
   where $$ a_1 = 3 $$ (the first term) and $$ d = 4 $$ (the common difference).

2. **The Sum of the Series**: If you are given the sum $$ S_n $$ of the first $$ n $$ terms, you can use the sum formula:
   $$
   S_n = \frac{n}{2} (2a_1 + (n-1)d)
   $$
   and solve for $$ n $$.

3. **A Specific Condition**: Sometimes, the problem provides a condition that relates to the terms, such as the sum exceeding a certain value.

**Example: Finding the Number of Terms Given the Last Term**

Suppose the last term of the series is 99. To find the number of terms $$ n $$:

1. Use the $$ n $$-th term formula:
   $$
   99 = 3 + (n-1) \times 4
   $$
2. Solve for $$ n $$:
   $$
   99 = 3 + 4n - 4 \
   99 = 4n - 1 \
   100 = 4n \
   n = 25
   $$
   
So, there would be **25 terms** in the series.

If you provide additional details or context, I'd be happy to help you solve the problem more specifically!
To find the number of terms in the arithmetic series $$ 3 + 7 + 11 + \ldots $$, you need to know either the last term or the sum of the series. With that information, you can use the formulas for the $$ n $$-th term or the sum of an arithmetic series to determine the number of terms.

(2) How many terms of the
arithmetic series .

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(2) How many terms of the arithmetic series .