Which of the following is the explicit formula for the geometric sequence 320, 80, 20, 5, ... ?

G (n) = 320 (¼) n-1

G (n) = 320 (4) n-1

G (n) = 320 (¼) n

G (n) = ¼ (320) n-1

Question

Mathematics

Francisco

28 May, 20:56

Which of the following is the explicit formula for the geometric sequence 320, 80, 20, 5, ... ?

G (n) = 320 (¼) n-1

G (n) = 320 (4) n-1

G (n) = 320 (¼) n

G (n) = ¼ (320) n-1

+3

Answers (1)

Know the Answer?

Russell Hooper · Answer 1

Common ratio can be found by dividing the second term by the first term

80/320 = 0.25 (which is 1/4)

G (n) = a1 * r^ (n-1)

a1 = first term = 320

r = common ratio = 1/4

so ur formula is : G (n) = 320 (1/4) ^n-1

Which of the following is the explicit formula for the geometric sequence 320, 80, 20, 5, ... ?G (n) = 320 (¼) n-1G (n) = 320 (4) n-1G (n) = 320 (¼) nG (n) = ¼ (320) n-1

Which of the following is the explicit formula for the geometric sequence 320, 80, 20, 5, ... ?

G (n) = 320 (¼) n-1

G (n) = 320 (4) n-1

G (n) = 320 (¼) n

G (n) = ¼ (320) n-1