Question

in a G.P. the 3rd term is 2 and the 7th term is 1/8. determine the 10th term if the common ratio is negative

Step by step solution pls
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Answer 1

Answer:1/128

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Step-by-step explanation:

Let the common ratio be r and first term be a .

3rd term = ar^2 = 2   ......................(1)

7th term = ar^6= 1/8  ......................(2)

Dividing (1) by (2) ,we get r^4 = 1/16.

∴ r = -1/2   (∵ common ratio is said to be negative)

Substituting value of r in (1) , we get a = 8

10th term = ar^10 = 1/128