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kirill115 [55]
3 years ago
6

Find the missing value. Hint: Use the number line to find the missing value -3 = -7

Mathematics
1 answer:
denis-greek [22]3 years ago
4 0

Answer:

is that all the context that is given?

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Find S5 for a geometric series for which a1=81 and r=1/9.
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ANSWER

S_5=91\frac{10}{81}




EXPLANATION


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


S_n=\frac{a_1(1-r^n)}{1-r} ,-1


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}}


S_5=\frac{81(\frac{59048}{59049})}{\frac{8}{9}}




S_5=\frac{7381}{81}


S_5=91\frac{10}{81}




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