Based on the input/output chart below, answer the following questions in the space provided below. Find an explicit formula for the arithmetic sequence. Then, find the 100 term. Input 1 2 3 4 Output An) 18 8 -2 -12 a. What is the common difference between each term? b. What is the first term or a, ? c. What is the explicit formula for the arithmetic sequence? d. What is the 100h term? Show your work in the space provided.

Ryan is building a triangle sequence so that one triangle is added to the right each time, as shown below. How many matchsticks will he use for the nth figure and for the figure one before the nth? Click the icon to view the matchstick square figures. The nth figure will take matchsticks to build. (Type an expression using n as the variable. Simplify your answer.) The figure one before the nth figure will take matchsticks to build. (Type an expression using n as the variable. Simplify your answer.)

Answer a-d

Determine the common ratio and then find the recursive rule for the given sequence: -3, -15,-75, -375, …