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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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Answer:

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Step-by-step explanation:

PART C .

Given:

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Proof:

Statement                             Reason

1. AD || BC                           1. Given

2. ∠A ≅ ∠C                        2. Alternate Angles Theorem as AD || BC

3. ∠AED ≅ ∠CEB               3. Vertical Opposite Angle Theorem.

4. AE ≅ EC                        4. Given

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Qs 9)

Given:

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∠A ≅ ∠C

Proof:

Statement                             Reason

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3. BD ≅ BD                       3. Reflexive Property

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Qs 10)

Given:

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ΔMCI ≅ ΔAIC

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Statement                             Reason

1. ∠MCI ≅ ∠AIC       1. Given

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4 0
3 years ago
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Answer:

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Step-by-step explanation:

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