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ahrayia [7]
2 years ago
7

What is the missing value in the table below?

Mathematics
1 answer:
iVinArrow [24]2 years ago
8 0

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The missing value in the table below is 343. The correct option is A.

<h3>What is geometrical series?</h3>

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

The given table if closely observed forms a geometric progression, this is because the value of the dependent variable, y is increasing by a common ratio. The common ratio in the table is,

Common ratio = y₂/y₁ = 1/(1/7) = 7

Now, for any geometric progression, the value of the nth term is given as,

Tₙ = a₁ (r)⁽ⁿ⁻¹⁾

where a₁ is the first term of the geometric progression and r is the common ratio. Therefore, the nth term of the series is,

T = a₁ (r)⁽ⁿ⁻¹⁾

Tₙ = (1/7) (7)⁽ⁿ⁻¹⁾

y = (1/7)(7)⁽ˣ⁻¹⁾

Now, the value of the y when the value of x is 5 is,

y = (1/7)(7)⁽ˣ⁻¹⁾

y = (1/7)(7)⁽⁵⁻¹⁾

y = (1/7)(7)⁴

y = (1/7) × 2401

y = 343

Hence, the missing value in the table below is 343.

Learn more about Geometrical Series here:

brainly.com/question/4617980

#SPJ1

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dezoksy [38]

60.8 is 64% of 95.

Step-by-step explanation:

Given number is;

95

We have to find at what percent, the value is 60.8

Let x be the percent.

Therefore;

x% of 95 = 60.8

\frac{95x}{100}=60.8 \\0.95x=60.8

Dividing both sides by 0.95

\frac{0.95x}{0.95}=\frac{60.8}{0.95}\\x=64

60.8 is 64% of 95.

Keywords: percent, division

Learn more about division at:

  • brainly.com/question/10764770
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#LearnwithBrainly

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To find the answer, set up an equation:
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