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vampirchik [111]
3 years ago
15

Find the sum of the geometric series 1 - 4/5 + (4/5)² - (4/5)³ + ... - (4/5)²⁹

Mathematics
1 answer:
masha68 [24]3 years ago
3 0

Answer:

Step-by-step explanation:

Given,

1st term (a) = 1

Common ratio (r) = -4/5

last term (l) = - (4/5)^{29}

Now,

Sum (S) = (lr- a)/(r - 1) =[(4/5)³° - 1]/(-9/5)

             = -0.99876206/-1.8

             = 0.5548678111

Sorry bro couldn't get answer in fraction.

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