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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.

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Fudgin [204]
Hello!

The number line progresses from negative infinity (extreme left) to positive infinity (extreme right). Beginning at zero, the numbers increase in value as they move to the right and decrease in value as they move to the left.

With this knowledge, we can look at the number 17.2 (a positive number) and conclude that it is placed 17.2 units to the right of zero on the number line.

The opposite of 17.2 would be (-17.2). Again, looking at this number (a negative number), we can conclude that it is placed 17.2 units to the left of zero on the number line.

I hope this helps!
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Twenty words were randomly selected from two textbooks. Each set gives the number of letters in each of the twenty words for tha
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Answer:

k = 13The smallest zero or root is x = -10

Step-by-step explanation:

you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

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x+10 = 0 or x+3 = 0

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The smallest zero is x = -10 as its the left-most value on a number line.

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2 years ago
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Answer:

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Step-by-step explanation:

Multiply.

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Combined like terms:

8bm - <em>6an</em> - bm + <em>5an</em> - 5bm + <em>8an</em>

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-2 - 2i*square root of 11/483

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