MATHEMATICS MIDDLE SCHOOL

What is the sum of an infinite geometric series if a1 = 5 and r = 1/3

Answers

Answer 1

Answer:

Answer:

7.5

Step-by-step explanation:

The first term is 5 and the ratio is 1/3

The formula for the sum of an infinite geometric series is

S = a1 / (1-r )

S = 5 / (1- 1/3)

= 5 /(2/3)

= 5 * 3/2

= 15/2

= 7.5

Answer 2

Answer:

Final answer:

The sum of an infinite geometric series, with a first term of 5 and a common ratio of 1/3, is 7.5.

Explanation:

The question is about finding the sum of an infinite geometric series. The sum of an infinite geometric series can be found using the formula: S = a1 / (1 - r), where 'a1' is the first term and 'r' is the common ratio.

In this case, a1 is 5 and r is 1/3. Substituting the provided values into the formula, we get: S = 5 / (1 - 1/3), which simplifies to: S = 5 / (2/3) = 7.5.

So, the sum of this infinite geometric series is 7.5.

Learn more about sum of geometric series here:

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What is the exact distance between the point (-2,-1) and the point (6,8)a)√145 units
b)12.042 units
c)√97
d)6√2

Answers

The exact distance between two points (-2,-1) and (6,8) is = √145 units

= 12.042 units.

What is the distance between two points on a plane?

If two points on a plane is mentioned as (x₁, y₁) and (x₂, y₂), then the distance between them is √[(x₁ - x₂)² + (y₁ - y₂)²] units.

Give, two points are (-2,-1) and (6,8).

Therefore, the distance between them is

= √[(- 2 - 6)² + (- 1 - 8)²] units

= √[(- 8)² + (- 9)²] units

= √(64 + 81) units

= √145 units

= 12.042 units

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The answer is B. Use distance formula...

$d = \sqrt{(6 + 2) {}^(2) + (8 + 1) {}^(2) }$

A triangle has sides that measure 6m,8m,12m. is it a right triangle?

Answers

Answer:

because it should be 99

How would you solve (4k+5)(k+1)=0?

Answers

$(4k+5)(k+1)=0\iff4k+5=0\ or\ k+1=0\n\n4k=-5\ or\ k=-1\n\n\boxed{k=-(5)/(4)\ or\ k=-1}$

(4k + 5) (k + 1) = 0

Before you rush off and start trying to do complicated things with that equation,
put your pencil down, fold your hands in your lap, and sit and look at it for a while.
Keep looking at it until a little voice yells out "Hey ! That's a true statement if
either (4k + 5) is zero or (k+1) is zero. THEN go to work on it.

(4k + 5 = 0)
4k = -5
k = -5/4

(k + 1 = 0)
k = -1

And there are the two solutions to that equation.

How many times dose 10 go into 450

Answers

Answer:

10 go into 450 45 times

Step-by-step explanation:

The table shows a golfer's scores for four rounds of a recent US Women's Open. Her total score was even par. What was her 3rd round score?

Answers

The definition of par in golf is the predetermined number of strokes that a golfer should require to complete a hole. Even par means that he has made out the expected hits is made , no more no less.

To translate this into equation even par would have a sum equal to 0.

thus
(-1)+(-3)+(s)+(+2)=0

and finding s will give us

s = + 2

Hope my answer would be a great help for you.
If you have more questions feel free to ask here at Brainly.

Answer:

The value of s is plus 2.

Step-by-step explanation:

Par is the number of strokes that a golfer requires to complete a hole.

"Even par" is the term used ,when a golfer uses the same number of strokes as a hole's par rating means no more or no less.

Here, we will equate all the scores to zero, to get the value of s.

$(-1)+(-3)+(s)+(+2)=0$