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earnstyle [38]
3 years ago
7

Which of the given points would be in a table generated by the equation below?

Mathematics
1 answer:
bixtya [17]3 years ago
7 0
D is the answer. Putting this because it has to be 20 characters
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There are 24 hours in a day, At 7 a.m. how many hours are left in the day?
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17

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Which axis goes up and down (vertical)?
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JoAnn is taking a trip to visit her family. After one day of driving, she has traveled 315.2 miles. If JoAnn lives 510 miles fro
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194.8 miles

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510 - 315.2 = 194.8

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The ratio (by volume) of salt and sugar in a certain mixture is 4 to 8. If the total volume of the solution is 300 cubic feet, w
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3 years ago
Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract
anyanavicka [17]

Answer:

\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8

Step-by-step explanation:

The sum you are trying to understand is this.

\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}

Remember that in general when you have a geometric series  

\sum\limits_{n = 0}^{\infty} a*r^n you have that

\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}      and that equality is true as long as     |r| < 1.

Therefore here we have

\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n        and   \big|\frac{-1}{15} \big| = \frac{1}{15} < 1

Therefore we can use the formula and

\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n =  \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16  = 15/8

5 0
3 years ago
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