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Tema [17]
3 years ago
14

For the geometric series given by 5 + 10 + 20+ . . . , which of the following statements is FALSE?

Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

All statements are true

Step-by-step explanation:

1. The statement S_{500}>S_{499} is true, because S_{499} is the sum of first 499 terms,  S_{500} is the sum of first 500 terms,  and all these terms are positive, then the sum of smaller number of terms is less than the sum of larger number of terms.

2. The statement S_{500}>a_{500} is true, because S_{500} is the sum of first 500 terms,  a_{500} is 500th term and the sum of 500 terms is greater than the 500th term.

3. The statement S_1=a_1 is true, because S_1 is the sum of first 1 term that is exactly  a_1.

All statements are true.

You might be interested in
If the volume of a cube is 12,167 cubic inches, what is the length of a side of the square?
Grace [21]

Answer:

23 in

Step-by-step explanation:

Volume of a Cube: V = a³

Step 1: Define

V = 12,167 in³

a = ?

Step 2: Solve for side length <em>a</em>

  1. <u>Substitute:</u> 12,167 = a³
  2. <u>Cube root both sides:</u> 23 = a
  3. <u>Rewrite:</u> a = 23

Step 3: Check

<em>Plug in a to verify it's a solution.</em>

  1. <u>Substitute: </u>V = (23 in)³
  2. <u>Evaluate:</u> V = 12,167 in³
3 0
3 years ago
Evaluate:<br><br> 35/65 x 1/7
puteri [66]

Answer:

\frac{1}{13}

Step-by-step explanation:

\frac{35}{65}  \times  \frac{1}{7} \\  =  \frac{5}{65}   \\  =  \frac{1}{13}

This is your answer :))

4 0
2 years ago
X+y=20 3x-3y=30 Which values of x and y satisfy this system of equations?
puteri [66]

x +y = 20 ( rewrite as x = 20-y)

3x - 3y =30

3(20-y) - 3y = 30

60-3y - 3y = 30

60-6y = 30

-6y = -30

y = -30 / -6 = 5

x=20-5 = 15

x = 15, y = 5

4 0
3 years ago
If you draw a tree to show the number of ways to spin a spinner with three regions twice, how many possibilitdies would there be
LenaWriter [7]

Answer: There would be 9 possibilities.

Step-by-step explanation:

Given : The number of regions in the spinner = 3

if we spin the spinner twice, then by using fundamental principal of counting , the number of possibilities is given by :-

3\times3=9

Therefore, there would be 9 possibilities.

  • The Fundamental Counting Principle is a method to calculate the number of possibilities by multiplying the events together to get the total number of possibilities.

7 0
3 years ago
Need help on number 12....
Vaselesa [24]

Answer:

the answer is A. Elijah is correct.

5 0
3 years ago
Read 2 more answers
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