f.5 maths

2009-04-06 10:47 pm
The sum to infinity of the series 8+6+4+2+2+2/3+.......is?
the answer is 25.
how to calculate?
thank you!

回答 (1)

2009-04-06 11:00 pm
✔ 最佳答案
8 + 6 + 4 + 2 + 2 + 2/3 + ...
= (8 + 4 + 2 + ...) + (6 + 2 + 2/3 + ...)
= [8/(1 - 1/2)] + [6/(1 - 1/3)] (By sum to infinity of geometric series with common ratio)
= 16 + 9
= 25


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