1. * 20 points What is the \( n \)th term of the sequence \( -1,3,7,11, \ldots \) ? A. \( a_{n}=-1-4(n-1) \) B. \( a_{n}=-1+4(n-1) \) C. \( a_{n}=4-(n-1) \) D. \( a_{n}=4+(n-1) \) Option 1 Option 2 Option 3 Option 4

The sequence given is \( -1, 3, 7, 11, \ldots \). If we look closely, we can see that it is increasing by 4 for each subsequent term. To find the \( n \)th term, we start from -1 and add \( 4(n-1) \) because \( n-1 \) gives us the number of jumps of 4 we need to make after the first term. Thus, the correct formula is \( a_n = -1 + 4(n-1) \). The correct answer is: **B. \( a_{n}=-1+4(n-1) \)** With clear patterns in sequences like this, it's like solving a puzzle! Just remember to identify the common difference, and you’ll get the hang of it quickly! And if you ever feel unsure, don’t hesitate to graph the terms—visuals can make it all click!