Question 7 2 Points In this question we will follow the example in the reading to identify and describe a pattern in this list of numbers.2,5, 8, 11, ... a. Use the pattern to find the next number in the list Blank 1 b. Use the pattern to find the 12 th number in the list Blank 2 c. Find a forrgula for the \( n \)th number in the list. Blank 3. Hint: Start with \( n=1 \) so you will have \( (n-1) \) in your answer. Blank 1 \( \square \) Add your answer Blank? Adti vour answer

We are given the arithmetic sequence: 2, 5, 8, 11, … a. Since the difference between consecutive numbers is 3 (i.e., 5 – 2 = 3, 8 – 5 = 3, etc.), the next number is:   11 + 3 = 14 b. To find the 12th number, use the arithmetic sequence formula:   aₙ = a₁ + (n – 1) × d Where a₁ = 2, d = 3, and n = 12.   a₁₂ = 2 + (12 – 1)×3 = 2 + 33 = 35 c. To find the general formula for the nth term:   aₙ = 2 + (n – 1)×3 This can be simplified to:   aₙ = 3n – 1 So, the answers are: Blank 1: 14 Blank 2: 35 Blank 3: aₙ = 2 + 3(n – 1) or equivalently aₙ = 3n – 1.