Solve the following: S5 for 600 + 300 + 150 + .

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21-10-2016
Mathematics

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Solve the following: S5 for 600 + 300 + 150 + .

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nobillionaireNobley nobillionaireNobley · Answer 1 · 2016-10-31T13:31:18+01:00

nobillionaireNobley nobillionaireNobley

31-10-2016

600 + 300 + 150 + . . . is a geometric sequence with a = 600 and r = 1/2
Sn = a(1 - r^n)/(1 - r)
S5 = 600(1 - (1/2)^5)/(1 - 1/2) = 600(1 - 1/32)/(1/2) = 1,200(31/32) = 1,162.5

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