Which of the following choices is the explicit formula for the following geometric sequence?

-0.1, 0.02, - 0.004, 0.0008, - 0.00016

A. an = 0.1 (0.2) n

B. an = 0.1 (-0.2) n-1

C. an = - 0.1 (-0.2) n-1

D. an = 0.2 (-0.2) n-1

E. an = - 0.1 (0.2) n-1

Question

Mathematics

Kenyon

16 March, 07:58

Which of the following choices is the explicit formula for the following geometric sequence?

-0.1, 0.02, - 0.004, 0.0008, - 0.00016

A. an = 0.1 (0.2) n

B. an = 0.1 (-0.2) n-1

C. an = - 0.1 (-0.2) n-1

D. an = 0.2 (-0.2) n-1

E. an = - 0.1 (0.2) n-1

+5

Answers (1)

Know the Answer?

Pablo Brock · Answer 1

Common ratio (r) can be found by dividing the second term by the first term.

0.02 / - 0.1 = - 0.2

an = a1 * r ^ (n - 1)

a1 = first term = - 0.1

r = common ratio = - 0.2

an = - 0.1 (-0.2) ^ (n - 1) ... answer is C

Which of the following choices is the explicit formula for the following geometric sequence?-0.1, 0.02, - 0.004, 0.0008, - 0.00016A. an = 0.1 (0.2) nB. an = 0.1 (-0.2) n-1C. an = - 0.1 (-0.2) n-1D. an = 0.2 (-0.2) n-1E. an = - 0.1 (0.2) n-1

Which of the following choices is the explicit formula for the following geometric sequence?

-0.1, 0.02, - 0.004, 0.0008, - 0.00016

A. an = 0.1 (0.2) n

B. an = 0.1 (-0.2) n-1

C. an = - 0.1 (-0.2) n-1

D. an = 0.2 (-0.2) n-1

E. an = - 0.1 (0.2) n-1