Evaluate S5 for 400 + 200 + 100 + … and select the correct answer below. 25 775 1,125 500

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Evaluate S5 for 400 + 200 + 100 + … and select the correct answer below. 25 775 1,125 500

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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the series is geometric that is term/previous term equals 1/2 200/400=100/200=1/2 so 400 divided by 2 is 200 200 divided by 2 is 100 100 divided by 2 is 50 50 divided by 2 is 25 so you have your 5 terms... 400+200+100+50+25
you can also use the following formula: \[S_n=a \cdot \frac{1-r^n}{1-r} \\ \text{ where } n \text{ is the number of the terms } \\ a \text{ is the first number in the sequence } \\ r \text{ is the common ratio }\]
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