Find the ninth term of the

geometric sequence, given the

first term and common ratio.

a1=1 and r=-1/3

Question

Mathematics

Tomas Scott

12 September, 13:09

Find the ninth term of the

geometric sequence, given the

first term and common ratio.

a1=1 and r=-1/3

+5

Answers (2)

Know the Answer?

Sierra · Answer 1

1 (-1/3) ^8

Answer: 1/6561

Mila Cruz · Answer 2

Step-by-step explanation:

n th term = a (r^ (n-1) - 1) / (r-1)

Ninth term = 1 * [ (-1/3) ⁸ - 1 ] / (-1/3 - 1)

= (1/6561) - 1 / (-1 - 3/3) = [ (1 - 6561) / 6561] / [-4/3]

= [-6560/6561] / - 4/3

= - 6560 * 3 / 6561 * - 4

= 1640 / 2187

Find the ninth term of thegeometric sequence, given thefirst term and common ratio.a1=1 and r=-1/3

Find the ninth term of the

geometric sequence, given the

first term and common ratio.

a1=1 and r=-1/3