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Find the sum of the infinite series: 15+110+120+... Write your answer as a fraction using the "/" as the fraction bar with no spaces.

Sagot :

Sqdancefanidn

9514 1404 393

Answer:

  2/5

Step-by-step explanation:

The common ratio is r = (1/10)/(1/5) = 5/10 = 1/2. The first term is a1 = 1/5.

The sum of an infinite geometric series is given by ...

  S = a1/(1 -r)

  S = (1/5)/(1 -1/2) = (2/10)/(5/10) = 2/5

The sum of the series is 2/5.

_____

It might stick in your head that the sum of 1 + 1/2 + 1/4 + 1/8 + 1/16 + ... is 2. The given series is 1/5 times that.

Elephantlover1288idn

Answer:

the answer is 2/5

Step-by-step explanation:

:)))))

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