The sum of a geometric series of twelve terms with common ratio 2 is 20,475. What is the first term? Needed help please.

Answers

Answer 1
Answer:

Answer: the first term is 5

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

S12 = 20475

r = 2

n = 12

Therefore,

20475 = (a × 2^(12) - 1)/2 - 1

20475 = (a × 4095)

20475 = 4095a

a = 20475/4095

a = 5


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Which of the following binomials is Not prime? a. 2x+1  , b. 3x+2  , c. x2-4  , d. x2+8

Answers

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Data were collected on the distance a home is located from a major city, x (in miles), and the selling price of the home, y (in thousands of dollars). The scatterplot of the data yielded a linear equation, y =31.0+3.12x. Identify the slope and y-intercept of the regression equation.

Answers

Answer:

Step-by-step explanation: hey you know whats crazy we are doing the same problem i just did it so cross multiply y and x then divide b 100 and you will get your answer you can also use a couculator we us e them is school

Final answer:

The slope and y-intercept of the regression equation 'y =31.0+3.12x' are 3.12 and 31.0, respectively. It suggests for every mile increase in distance from a major city, the price of a home increases by $3,120 and a home in the city costs $31,000 as base price.

Explanation:

In your regression equation, y =31.0+3.12x, 'y' represents the selling price of a home and 'x' is the distance it is located from a major city. The slope of the line, represented by 3.12, translates to every mile increase in distance from a major city, there's an increase of $3,120 in the home price. The y-intercept is 31.0, which means when the distance from a major city is zero miles (i.e., the home is in the city), the base price of the home is $31,000.

Learn more about Linear Regression here:

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PLEASE ANSWER QUICKLYThe sum of three different positive integers is 12. Show that one of them must be greater than 4

Answers

Average of these numbers are 12/3=4. So If we choose them same, they will be 4, 4 and 4. But They must different. This situation causes one of them should 5 (lowest greater number).

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Answers

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Never is the correct answer

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Answers

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Answers

Answer:

1) Linear Pair

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3) Complmentary

4) Vertical