Write an explicit formula for the geometric sequence below and use it to find the 9th term. 256, 64, 16, 4, . . .

The explicit formula is;

Tn = 256(1/4)^(n-1)

The 9th term is;

256/65536

Step-by-step explanation:

Mathematically, we have the nth term of a geometric sequence as;

Tn = ar^(n-1)

a is the first term = 256

r is the common ratio = 64/256 = 16/64 = 4/16 = 1/4

So, for the 9th term, we have

T9 = 256(1/4)^(9-1) = 256/65536

The explicit formula is;

Tn = 256(1/4)^(n-1)

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