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Umnica [9.8K]
3 years ago
14

What is the sum of a geometric sequence 1, 3, 9, ... if there are 12 terms?

Mathematics
1 answer:
attashe74 [19]3 years ago
4 0
We know that
a1=1
a2=3
a3=9
a2/a1=3/1----> 3
a3/a2=9/3----> 3
<span>common ration r is equal to 3
number of terms n  is 12

The </span><span>Sum of geometric series is given by the formula
</span>Sum=a1*[1-r<span>^n]/[1-r]
</span>Sum=1*[1-3^12]/[1-3]-----> Sum=[1-3^12]/[1-3]----> [3^12-1]/[3-1]
<span>Sum=531440/2-----> 265720

the answer is
265720



</span>
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