What is the sum of the first six terms of the geometric series?2 – 6 + 18 – 54 + ...
a)–486
b)–364
c)–40
d)122
Answers
The sum of the first six terms of the geometric series will be -364. Hence, option (B) will be correct.
What is geometric series?
A geometric series is a series in which the division of any consecutive two terms will be the same.
For example 3, 6, 12, 24 here if you divide 6 by 3 then it gives you 2, and if you divide 12 by 6 then also it gives you 2, and so on.
Given up series is 2, – 6, 18, – 54
The common ratio of this GP is -3 by that
The remaining elements of this gp will be 162, -486
So the sum will be 2 - 6 + 18 - 54 + 162 - 486 = -364 so it will the summation of the given gp.
For more about geometric series
#SPJ5
Answer:
the answer is -364
Step-by-step explanation:
Related Questions
A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour. What is the train’s original speed?
If n-8=-3, what is 3n?
A study on how fast men can run the 100-meter race found that the athletes in the study were able to run it in an average of 10 seconds. Which of the following is a correct inference?On average, athletes run a 10-second 100-meter race On average, male athletes run a 10-second 100-meter race On average, males run a 10-second 100-meter race On average, female athletes do not run a 10-second 100-meter race
What is the definition of significant digits?
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
Set B
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11
Set C
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
Set D
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9
For which set of data will the scatter plot represent a negative linear association between x and y? (4 points)
Set A
Set B
Set C
Set D
Answers
Answer:
Hence, the set that represent a negative linear association between x and y is:
Set A.
Step-by-step explanation:
We are given 4 sets of data as:
Set A
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
Set B
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11
Set C
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
Set D
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9
We are asked to determine the set which represent negative linear association between x and y?
- Clearly in Set B and Set D the values of y keeps on increasing as the value of x increases; hence they both represent a positive linear association between x and y.
- In set C the relationship is non-linear though it is negative.
- Clearly in Set A we could see that the the y is related to x as:
y=11-x or y= -x+11.
Hence, clearly we could see that the relationship is linear and also negative as the value of y keeps on decreasing with increasing x.
Hence, the set that represent a negative linear association between x and y is:
Set A.
Answer:
it is set a
Step-by-step explanation:
Answers
Answer:
The altitude is 6.53 cm
Step-by-step explanation:
A regular tetrahedron is a triangular pyramid having equilateral triangular faces, therefore we have;
Sides of the equilateral triangle = 8 cm
Given that the slant height, the edge of the tetrahedron, and half the base edge of the tetrahedron form a right triangle, we have;
The slant height, h = √(8² - (8/2)²) = √48 = 4×√3
The segment representing the altitude, H, of the tetrahedron forms a right triangle with the edge of the tetrahedron and 2/3×h
Therefore;
8² = H² + (2/3×4×√3)²
H² = 8² - (2/3×4×√3)²
H² = 64 - 64/3 = 128/3
The altitude H = √(128/3) = √6×8/3 = 6.53 cm.
Answers
ANSWER :
» 14n-6/3
refer to the above attachment ↑
I have no clue how to do this I missed a lot of days in school due to personal issues
if someone could help me that would be great!
Answers
6x^3 + 4x-2 + 4x^2 + 3x^3 - 6=
9x^3+4x^2+4x-8
Answers
Answer:
Total area = 2 * base area + side area
Lateral area = base perimeter * height
Total area = 2*(5*2)+2(5+2)*8
2*10 + 2*7*8=
20+112=132m²