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Anna007 [38]
3 years ago
15

An infinite geometric series has 1 and 1/5 as its first two terms: 1, 1/5, 1/25, 1/125, . . . What is the sum, S, of the infinit

e series? A. 1 B. 5/4 C. 1/4 D. 1/25
Mathematics
1 answer:
dezoksy [38]3 years ago
7 0

Answer:  \dfrac{5}{4}

Step-by-step explanation:

Given: The first term of Geometric series : a=1

The seconds term of Geometric series : ar=\dfrac{1}{5}

The common ratio between the terms is given by :-

r=\dfrac{ar}{a}=\dfrac{\frac{1}{5}}{1}=\dfrac{1}{5}

We know that the sum of infinite geometric series is given by :-

S_{\infty}=\dfrac{a}{1-r}\\\\\Rightarrow\ S_{\infty}=\dfrac{1}{1-\frac{1}{5}}=\dfrac{1}{\frac{4}{5}}\\\\\Rightarrow\ S_{\infty}=\dfrac{5}{4}

Hence, the sum of the given infinite series = \dfrac{5}{4}

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In the figure, d, e, and f, are parallel lines. What is the value of x?
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Answer:

x=150

Step-by-step explanation:

Since f is flat, that means that the total degrees will equal 180°.

Therefore, because of the 60° and (x-30)° angles being supplementary angles, 60+x-30 will equal 180.

60+x-30=180\\30+x=180\\x=150

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Tammy buys a $53.00 dress when it is on sale for 15% off how much money dose tammy pay for the dress​
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4 years ago
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Joe’s age is three times Aaron’s age and Aaron is six years older than Christina. If the sum of their ages is 149, what is Chris
Leno4ka [110]

<u>Answer</u>

If Christina's age is = x

Aaron's age is = x + 6

Jeo's age = 3(x + 6 )

So, the sum of their ages can be write as,

x + x + 6 + 3(x + 6) \\ x + x + 6 + 3x + 18 \\ 5x + 24

Also, they have given that the sum of their ages is 149

Therefore we can write a equation as,

5x + 24 = 149

Now let's solve this and find the age of Christina

5x + 24 = 149 \\ 5x = 149 - 24 \\ 5x =12 5 \\  \frac{5x}{5}  =  \frac{125}{5}  \\ x = 25

Aaron's age is

x+ 6 \\ 25 + 6 \\  = 31

Joe's age is

3(x + 6) \\ 3(25 + 6) \\ 3 \times 31 \\  = 93

Hope this helps you.

Let me know if you have any other questions :-):-)

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3 years ago
Y = 2x + 3 2 How does the equation of a line need to be changed to shift the line upward? 1 123 1 -3 -2 -1 -1 -2 A A. The absolu
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C

Step-by-step explanation:

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The answer to this is 2/3
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