The 5th term in a geometric sequence is 120. The 7th term is 30. What are the possible values of the 6th term of the sequence.

Answers

Answer 1

Answer:

± 60

Step-by-step explanation:

aₙ = a₁ * rⁿ⁻¹

a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶     (1)

a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴     (2)

(1)/(2): 30/120 = 1/4 = r²

r = ± 1/2   or ± 0.5

a₁ = a₇/r⁶ = 30/0.5⁶ = 1920

a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60

Answer 2

The possible values of the 6th term of the sequence ± 60.

The 5th term in a geometric sequence is 120.

The 7th term is 30

We have to determine the 6th term of the sequence.

What is the formula for the nth term of the sequence?

[tex]a_n = a* r^n[/tex]

a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶  ......   (1)

a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴   ...  (2)

(1)/(2): 30/120 = 1/4 = r²

r = ± 1/2   or ± 0.5

a₁ = a₇/r⁶ = 30/0.5⁶ = 1920

a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60.

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Answer:

Question: Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.

Answer:

SA = 2lw+2lh+2hw

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Step-by-step explanation:

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Answers

Step-by-step explanation:

Given radius , r = 7cm

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Answer:

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Step-by-step explanation:

Hope that helped!! maybe brainliest?

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Answer:

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Answer:

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Answer:

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Step-by-step explanation:

Answer:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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sorry if im wrong plz  dont report

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Answer:

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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583939485933094939392....../

Help please, it's for a test due at 11:30 est; Determine if (x-6) is a factor of f(x)=2x^4-3x^3+4x-3. Explain.

Answers

Answer:

if we get 0, when we plug the value of f(x) as 6 in f(x) then (x-6) is a factor of f(x)

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Answers

Answer:

0.55

Step-by-step explanation:

Answer:

11/20

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Step-by-step explanation:

3/4 -  1/5

=  

3 × 5         1 × 4

____  -     ____

4 × 5        5 × 4

=  

15/20 –4/20

=  

15 – 4

_____

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=  

11/ 20

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Answers

Answer:

c

Step-by-step explanation:

A international company has 26,700 employees in one country. If this represents 31.6% of the company's employees,how many employees does it have in total

Answers

Answer:

79762

Step-by-step explanation:

Total number of employees in one country=26,700

Let X= Total number of the company's employees in all countries

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=[( 31.6/100) × X)] =26,700

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X= [(26,700)/( 33.6/100)]

= [26800/0.336]

= 79762 ( approximately)

Hence, Total number of the company's employees in all countries is 79762

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