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.

9514 1404 393

  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.

the answer is 2/5

Step-by-step explanation:

:

His very birth shows and anticipates his heroic nature and fate: "when the gods fashioned gilgamesh, to him they gave a perfect form." so, he was envisioned by gods - therefore, he is not an ordinary man. " the glorious sun shamash bestowed upon him glory; adad the terrible god of storms bestowed upon him courage. the great gods perfected his magnificence beyond all others, terrible like the great wild bull. two thirds god they made him; one third man they made him." (quotations from the tablet 1.) from the fact that he was made by gods, we can tell that he has an important mission ahead of him, something that would be a great contribution to all the humanity. the fact that he is partly human means that he will have to face that most human of all moments - death.
not only was he born to be a hero; he also undertook many heroic acts. one of the most prominent acts was killing the beast humbaba (tablets 2-5), in spite of enkidu's and people's warnings: "[humbaba,]  whose roar is a flood, whose mouth is fire, whose breath is death". gilgamesh does it to earn fame, which is his human trait. but his physical strength is superhuman, so he manages to kill the beast.