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3 years ago

What is the explicit formula for this sequence? 2,10,50,250,1250

Mathematics

2 answers:

Zina [86]3 years ago

8 0

Answer:

This is a geometric sequence with a₁ = 2 and r = 5 where a₁ is the first term and r is the common ratio.

Explicit formula: aₙ = a₁ * r ⁿ⁻¹

The answer is aₙ = 2 * (5ⁿ⁻¹)

Valentin [98]3 years ago

4 0

Answer:

$a_n = 2(5)^{n-1}$

Step-by-step explanation:

Explicit Geometric Formula: $a_n = a_1r^{n-1}$

a₁ is 1st term

r is common ratio

n is term number

Step 1: Find common ratio r

r = 10/2 = 5

Step 2: Plug variables into formula

$a_n = 2(5)^{n-1}$

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4 /6 = 15 / x

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3 years ago

The smallest of three consecutive integers is added to four times the largest integer; the result so obtained is 15 less than th

Anton [14]

Answer:

Let the three consecutive integers be x,x+1,x+2

ATQ

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Step-by-step explanation:

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2 years ago

If 12y=75+5x+2x-1. What is the value of x

AleksandrR [38]

Answer:

x = $\frac{12y - 74}{7}$

Step-by-step explanation:

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combine like terms:

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2 years ago

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Please help :) I have no clue & math isn’t my strong subject.

melisa1 [442]

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

Solution:

Given line $y=\frac{4}{7} x+4$ .

Slope of this line, $m_1$ = $\frac{4}{7}$

$$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }$

$$m_2=\frac{-1}{m_1}$

$$=\frac{-1}{\frac{4}{7} }$

Slope of perpendicular line, $m_2=\frac{-7}{4}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$y-y_1=m(x-x_1)$

$$y-(-7)=\frac{-7}{4} (x-5)$

$$y+7=\frac{-7}{4} x+\frac{35}{4}$

Subtract 7 from both sides, we get

$$y=\frac{-7}{4} x+\frac{7}{4}$

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

To find the parallel line:

Slopes of parallel lines are equal.

$m_1=m_3$

$$m_3=\frac{4}{7}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$$y-(-7)=\frac{4}{7} (x-5)$

$$y+7=\frac{4}{7} x-\frac{20}{7}$

Subtract 7 from both sides,

$$y=\frac{4}{7} x-\frac{69}{7}$

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

7 0

2 years ago

What is the explicit formula for this sequence? 2,10,50,250,1250​

What is the explicit formula for this sequence? 2,10,50,250,1250