check whether 1/3,-1/6,1/12...is G.P or not? if yes find its 24th term.
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Yes they are in GP,because r=a2/a1=-(1/6)/(1/3)=-1/2.
and also r=a3/a2=(1/12)/(-1/6)=-1/2.
a(24)=a*r^23.
=>a(24)=1/3*(-1/2^23)=-1/(3*2^23).
=>a(24)=-1/(25165824)
and also r=a3/a2=(1/12)/(-1/6)=-1/2.
a(24)=a*r^23.
=>a(24)=1/3*(-1/2^23)=-1/(3*2^23).
=>a(24)=-1/(25165824)
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