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What is the sum of a geometric series of 12 terms that begins with 10 and has a common ratio of 2?

What is the sum of a geometric series of 12 terms that begins with 10 and has a common ratio of 2?
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1 vote
What is the sum of a geometric series of 12 terms that begins with 10 and has a common ratio of 2?

User Pradeep Sanjeewa
by
8.7k points

1 Answer

6 votes

Answer:


40950

Explanation:


S_n=(a_1(1-r^n))/(1-r)\\\\S_(12)=(10(1-(2)^(12)))/(1-2)\\\\S_(12)=(10(1-4096))/(-1)\\\\S_(12)=(10(-4095))/(-1)\\\\S_(12)=10(4095)\\\\S_(12)=40950

User RobertW
by
7.2k points
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