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Eddi Din [679]
3 years ago
6

Twelve less than seven times a number is 16

Mathematics
1 answer:
Murljashka [212]3 years ago
7 0
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Amber had 6 cousins. Her friend Ashley has 2 fewer than 3 times as many cousins as Amber has. Which expression represents the nu
Olin [163]

Answer:

Cousins Amber has: 6

(Let no. of cousins Amber has be represented as x)

Cousins Ashley has: 3x - 2

(3 X 6)- 2

18-2

16

8 0
3 years ago
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
What is a formula for the nth term of a given sequence
IceJOKER [234]

Answer:

a_n=-12-4(n-1)

Step-by-step explanation:

The given sequence is

-12,-16,-20...

The first term of this sequence is a_1=-12.

The common difference is

d=-16--12

d=-16+12=-4

The nth term of this arithmetic sequence is;

a_n=a_1+d(n-1)

We substitute the values for the first term and the common difference to obtain;

a_n=-12-4(n-1)

5 0
3 years ago
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Please write a 5 sentence summary of fidel castro's life
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Answer:

Fidel Castro, in full Fidel Alejandro Castro Ruz, (born August 13, 1926, near Birán, Cuba—died November 25, 2016, Cuba), political leader of Cuba (1959–2008) who transformed his country into the first communist state in the Western Hemisphere. Castro became a symbol of communist revolution in Latin America. He held the title of premier until 1976 and then began a long tenure as president of the Council of State and the Council of Ministers. He handed over provisional power in July 2006 because of health problems and formally relinquished the presidency in February 2008.

Step-by-step explanation: Hope it helps! Please rate brainliest

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3 years ago
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All the prime numbers between 20 and 30
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All the prime numbers betwemn 20 and 30 are 23 and 29
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3 years ago
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