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A GP consist of even number of terms. The sum of all the terms is 3 times that of odd terms, find common ratio.
Let us consider a series which has 4 terms,viz,a1,a2,a3,a4.According to the questiona1+a2+a3+a4=3(a1+a3)Or,-2a1+a2-2a3+a4=0Let r be the common ratio.Then a2=a1r,a3=a1r2,a4=a1r3.Put it in the equation.a1 cannot be zero.so-2+r-2r2+r3=0Or,r2(r-2)+1(r-2)=0Or,(r-2)(r2+1)=0either r=2 or r2=-1(r would be imaginary in this case,so you can exclude it).r=2
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