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stira [4]
3 years ago
14

5/8 ≠ (3/4 + 1/16) because 5/8 < 3/4 EXPLAIN THIS PROBLEM AND WHAT IT MEANS

Mathematics
1 answer:
balu736 [363]3 years ago
8 0
5/8 = 3/4+1/16 is false because, the final values compared on each side of equation is not the same

- 5/8 = 0.625
- 3/4+1/16 = 0.8125
 
0.625 = 0.8125, it is not equal but less than


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solong [7]
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Is the sequence geometric? if so, identify the common ratio 1/5,2/15,4/45,8/135,16/405,...
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So have the sequence: \frac{1}{5} , \frac{2}{15} , \frac{4}{45} , \frac{8}{135} , \frac{16}{145} ,...
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where 
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In other words we are going to divide the current term by the previous term a few times, and we will to check if that ratio is the same:

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For a_{n}= \frac{4}{45} and a_{n-1}= \frac{2}{15}:
r= \frac{ \frac{4}{45} }{ \frac{2}{15} }
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r= \frac{ \frac{8}{135} }{ \frac{4}{45} }
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We can conclude that our sequence is a geometric sequence and its common ratio is \frac{2}{3} 
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