# Geometric progression

If 1/3,a,b,c,d,e,f,g,432 are in G.P., then find the product of c and e.

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1. (a)(ar^8) = a^2 r^8 = 432
c*e = ar^3 * ar^5 = ...

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2. oops. (1/9)(432)

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3. This question answer 144 how it possible

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4. Well, you just didn't catch my typo.

c*e = (1/3)r^3 * (1/3)r^5
= (1/3)* (1/3)r^8
= (1/3)(432)
= 144

So, my correction was wrong. Clearly you did not examine my work to see where the mistake was made. You just threw up your hands and complained I was wrong. Bad form, I must say. The mistake was not hard to find.

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