Mathematics, 14.07.2019 05:00 blackopsty23
Find the sum of the geometric series 512+256+ . .+4a. 1,022b. 1,016c. 510d. 1,020
Answers: 1
![\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}} \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}} \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020](/tpl/images/0087/4595/64785.png)
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Find the sum of the geometric series 512+256+ . .+4a. 1,022b. 1,016c. 510d. 1,020...
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