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dlaskey646
02.01.2020 •
Mathematics
The answer is 16, i am just not sure how to arrive at that answer.
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Ответ:
Step-by-step explanation:
∑ (4ⁿ⁺¹ / 5ⁿ)
Rewrite 4ⁿ⁺¹ as 4 (4ⁿ).
∑ 4 (4ⁿ / 5ⁿ)
∑ 4 (4/5)ⁿ
This is a geometric series. The sum of an infinite geometric series is:
S = a / (1 −r)
where a is the first term and r is the common ratio.
Here, the first term is 16/5 (because n starts at 1), and the common ratio is 4/5.
S = 16/5 / (1−4/5)
S = 16/5 / (1/5)
S = 16
Ответ:
c
Step-by-step explanation: