Mathematics
19.09.2020 11:06
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Find the sum of each finite geometric series. 1 + 2 + 4 + … + 2048

Find the sum of each finite geometric series. 1 + 2 + 4 + … + 2048
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rosemary909
rosemary909
4,9(44 marks)
S=1+2+4+\cdots+1024+2048=1+2^1+2^2+\cdots+2^{10}+2^{11}
2S=2^1+2^2+2^3+\cdots+2^{11}+2^{12}
\implies S-2S=1-2^{12}
\implies -S=1-4096
\implies S=4095
studyoverload
studyoverload
4,7(18 marks)

you go down until you get to -3 and put a dot

Step-by-step explanation:

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