aq^{n-1}+aq^{n}+aq^{n+1}=21.5 aq^{n} * aq^{n-1} * aq^{n+1} =27 answers q= 1/6 I tried to use common factor and divide to two equation on eachothers
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Second equation yields $a^3q^{3n}=3^3 \implies aq^n=3$ $\dfrac{3}{q}+3+3q=21.5 \implies 6-37q+6q^2=0$ $(6q-1)(q-6)=0 \implies q=\dfrac{1}{6}$ or $q=6$
From Integer looper (dumb code): a=3, q=6, n=0