%3Cp%3E%3Cspan%20class%3D%22c1%22%3EUse%20the%20formula%20for%20the%20sum%20of%2

Question

%3Cp%3E%3Cspan%20class%3D%22c1%22%3EUse%20the%20formula%20for%20the%20sum%20of%20a%20geometric%0Aseries%20to%20find%20the%20following%20sum%20or%20state%20that%20the%20series%20diverges.%0A(If%20the%20quantity%20diverges%2C%20enter%20DIVERGES.)%3C%2Fspan%3E%3C%2Fp%3E%0A%3Cdiv%20class%3D%22indent%20c7%22%3E%0A%3Cdiv%20class%3D%22watexline%22%3E%3Cspan%20class%3D%0A%22watexinlineblock%20c3%22%3E15%20%3Cspan%20class%3D%0A%22c2%22%3E%3F%3C%2Fspan%3E%26nbsp%3B%3C%2Fspan%3E%0A%3Ctable%20class%3D%22watexfraction%20c6%22%3E%0A%3Ctbody%3E%0A%3Ctr%3E%0A%3Ctd%20class%3D%22watexnumerator%20c4%22%3E15%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3Ctr%3E%0A%3Ctd%20class%3D%22watexdenominator%20c5%22%3E8%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3C%2Ftbody%3E%0A%3C%2Ftable%3E%0A%26nbsp%3B%2B%26nbsp%3B%0A%3Ctable%20class%3D%22watexfraction%20c6%22%3E%0A%3Ctbody%3E%0A%3Ctr%3E%0A%3Ctd%20class%3D%22watexnumerator%20c4%22%3E15%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3Ctr%3E%0A%3Ctd%20class%3D%22watexdenominator%20c5%22%3E8%3Csup%3E2%3C%2Fsup%3E%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3C%2Ftbody%3E%0A%3C%2Ftable%3E%0A%26nbsp%3B%3Cspan%20class%3D%22c2%22%3E%3F%3C%2Fspan%3E%26nbsp%3B%0A%3Ctable%20class%3D%22watexfraction%20c6%22%3E%0A%3Ctbody%3E%0A%3Ctr%3E%0A%3Ctd%20class%3D%22watexnumerator%20c4%22%3E15%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3Ctr%3E%0A%3Ctd%20class%3D%22watexdenominator%20c5%22%3E8%3Csup%3E3%3C%2Fsup%3E%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3C%2Ftbody%3E%0A%3C%2Ftable%3E%0A%26nbsp%3B%2B%20...%3C%2Fdiv%3E%0A%3C%2Fdiv%3E%0A

Explanation / Answer

this is a geometric series with first term=15 and common ratio=-1/8

and as the ratio <1 the series DIVERGES

now the summation of series=a/(1-r)=15/(1-(-1/8))=15*8/9=13.33(answer)

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