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saveliy_v [14]
2 years ago
7

The 6 term of a G.P is -2\27 and it's first term is 18.what is the common ratio​

Mathematics
1 answer:
Airida [17]2 years ago
4 0

Answer:

r = - \frac{1}{3}

Step-by-step explanation:

The n th term of a GP is

a_{n} = a₁ r^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 18 and a₆ = - \frac{2}{27} , then

18 r^{5} = - \frac{2}{27} ( divide both sides by 18 )

r^{5} = - \frac{1}{243} ( take the fifth root of both sides )

r = \sqrt[5]{-\frac{1}{243} } = - \frac{1}{3}

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