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joja [24]
3 years ago
11

A red string of holiday lights blinks once every 3 seconds, while a string of blue lights blinks once every 4 seconds. How many

lights blinks at the same time in one minute?
Mathematics
1 answer:
erastova [34]3 years ago
8 0
There is a total of 5 times
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The geometric sequence a i a i ​ a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 ​ =8a, start subscr
frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

5 0
3 years ago
A 9V battery is attached to a hand generator. What prediction best explains what will happen and why?
insens350 [35]

A hand generator it most likely will provide power to perform wok more efficiently.

<h3>A hand generator and a 9v battery</h3>

Generally, A hand generator is a portable device that use energy to do work or increase efficiency of work done.

Therefore,if a 9v battery( a battery is defined as a source of electric power) is attached to a hand generator it most likely will provide power to perform wok more efficiently

For more information on  work

brainly.com/question/756198

3 0
2 years ago
The average distance from Jupiter to the sun is four hundred eighty-three million, six hundred thousand miles. Write the number
Anna35 [415]

483,600,000 miles

4 - hundred millions place

8 - ten millions place

3 - millions place

6 - hundred thousands place

0 - ten thousands, thousands, hundreds, tens, and ones place

5 0
3 years ago
Which expression is equivalent to 3(2x−4)+4x−2
Readme [11.4K]
I hope this helps you



3.2x-3.4+4x-2


6x-12+4x-2


10x-14
5 0
3 years ago
Read 2 more answers
PLEASE HELP!!<br> just look at the picture
arlik [135]

Answer:

its the  math that solve

Step-by-step explanation:

4 0
3 years ago
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