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vagabundo [1.1K]
3 years ago
7

2) WILL MARK BRAINLIEST + 10 POINTS! :) HAPPY NEW YEAR!~!!!!!!!!!!!

Mathematics
2 answers:
musickatia [10]3 years ago
6 0
Each term is previous term * 1/6  so it converges

Its a Geometric Sequence qith a1 = 60 and common ratio = 1/6

limit  =  a1 / ( 1 - r) =  60 / 5/6 =  72 answer
Annette [7]3 years ago
5 0
We can write the sequence out more fully, as we can see each time it is divided by 6.
60, 60/6, 60/6^2, 60/6^3, and so on.
Therefore we know the sequence can be written as u_n= \frac{60}{6^{n-1}}
You can think of this as a graph, i.e. y=60/6^(x-1)
As a result, as x tends to infinity, y tends to 0 (since it effectively becomes 60/infinity). Therefore the sequence converges toward zero.
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