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babymother [125]
3 years ago
8

What is the sum of the geometric sequence 3, 15, 75, … if there are 8 terms?

Mathematics
2 answers:
lidiya [134]3 years ago
6 0

Answer:

292,968

Step-by-step explanation:

Step 1: Use geometric sequence formula s_n=\frac{a1r^n}{1-r}

S_n & n= the sum of geometric sequence & terms in total (8)

r= common ratio (5)

a_1= first term in sequence (3)

<h2>s_8=\frac{3(5)^(^8^)}{ 1-5 }\\s_8=\frac{(3)390625}{-4}\\s_8= \frac{1171875}{ -4 }\\s_8=292968</h2><h2 />

Firlakuza [10]3 years ago
4 0
If you would like to know the sum of the geometric sequence, you can calculate this using the following steps:

3, 15, 75, 75 * 5 = 375, 375 * 5 = 1875, 1875 * 5 = 9375, 9375 * 5 = 46875, 46875 * 5 = 234375

<span>3 + 15 + 75 + 375 + 1875 + 9375 + 46875 + 234375 = </span>292,968

The correct result would be 292,968.
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GREYUIT [131]
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3 years ago
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vladimir2022 [97]

The equation that best describes the distance traveled is y = 190 + 65x.

Finding the values of the variables that lead to the stated equality being true is a step in the process of solving an equation with variables. Equation solutions are the amounts of the unknowns that meet the equality, whereas unknowns are the variables with which the equation must be solved.

Identity equations and conditional equations are the two types of equations. For every possible value of a variable, an identity holds true. The variables in a conditional equation can only have certain values.

An equation is made up of two expressions connected together by an equals symbol ("=").

The Distance traveled by car is 190 miles

The Speed of the car is 65 miles per hour.

Let x be the total number of hours traveling by car and y be the total distance remaining.

Then,

Total distance = 190 miles + 65 miles per hour × Number of hours traveled.

y = 190 + 65x

Consequently, the equation is y = 190 + 65 x.

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1 year ago
You are given a line that has a slope of 4 and passed through the point (3/8, 1/2). Which statements about the question of the l
alexgriva [62]

Answer:

Statement 1, 2 and 4 are true where as statement 3 is not true.

Step-by-step explanation:

<u>Statement 1: The y-intercept is -1</u>

<em>Point (3/8, 1/2)</em>

<em>Slope = m = 4</em>

<em>y = mx + c</em>

<em>1/2 = 4(3/8) + c</em>

<em>1/2 = 3/2 + c</em>

<em>1/2 = 3/2 + 2c/2</em>

<em>-2 = 2c</em>

<em>c = -1 </em>

This statement is true as the y-intercept is -1.

<u>Statement 2: The slope intercept equation is y= 4x - 1</u>

<em>slope = m = 4</em>

<em>y-intercept = c = -1</em>

<em>y = mx + c</em>

<em>y = 4x - 1</em>

This statement is true as the slope intercept equation is y= 4x -1

<u>Statement 3: The point slope equation is y - 3/8 = 4 (x - 1/2)</u>

<em>Point slope equation: y - y1 = m (x - x1)</em>

<em>Points: (x, y) (3/8, 1/2)</em>

<em>y1 = 1/2</em>

<em>x1 = 3/8</em>

<em>Slope = m = 4</em>

<em>y - 1/2 = 4 (x - 3/8)</em>

This statement is not true as the slope intercept equation is y - 1/2 = 4 (x - 3/8) instead of y - 3/8 = 4 (x - 1/2).

<u>Statement 4: The point (3/8, 1/2) corresponds to (x1, y1) in the point slope form of the equation</u>

This statement is true as shown in statement 3's explanation where x1 = 3/8 and y1 = 1/2

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Step-by-step explanation:

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