Question

The second term of a G.P is 12 more than the first term, given that the common ratio is half of the first term, find the third term of the G.P

Answer 1

Answer:

ar = a+12

r = a/2

a^2/2 = a+12

a^2 - 2a - 24 = 0

(a-6)(a+4)

so, a=6, r=3

or, a=-4, r=-2

6, 18, 54, 162, ...

or

-4, 8, -16, 32, ...

Answer 2

Answer:

3rd term is 3456

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