What is the 30th term of the linear sequence below?
-4,-1,2,5,8

83

Step-by-step explanation:

a_1 = -4

a_2 = -1

a_2 - a1 = -1 - (-4) = 3

Each new term is 3 added to the previous term.

a_n = a_1 + 3(n - 1)

Test: Let's find the 4th term and see if we get a_4 = 5.

a_4 = a_1 + 3(4 - 1) = -4 + 3(3) = -4 + 9 = 5

We see that the 4th term really is equal to 5.

a_30 = a_1 + 3(30 - 1) = -4 + 3(29) = -4 + 87 = 83

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.  

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered