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r-ruslan [8.4K]
3 years ago
10

The depth of a lake, dd, varies directly with rr, the amount of rainfall last month. if kk is the constant of variation, which e

quation represents the situation?
Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0
Given that the depth varies directly with amount of rainfall, then we shall have:
let d be the depth and r be the rainfall amount
dαr
thus
d=kr
where, k is the constant of proportionality, thus the formula will be:
d=kr
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3 years ago
Find S5 for a geometric series for which a1=81 and r=1/9.
Minchanka [31]

ANSWER

S_5=91\frac{10}{81}




EXPLANATION


The sum of the first n terms of a geometric sequence is given by;


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Where n, is the number of terms and a_1 is the first term.


When n=5, we have a_1=81, we get;


S_5=\frac{81(1-(\frac{1}{9})^5)}{1-\frac{1}{9}}


S_5=\frac{81(1-\frac{1}{59049})}{1-\frac{1}{9}}


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S_5=\frac{7381}{81}


S_5=91\frac{10}{81}




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