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This is still subject to review, but apparently a GP with r=0 cannot exist to form a limiting sum of 2, as a=2 for that to occur. Thus your series is 2+0+0+0+0,..... Term2/Term1=0/2=0 but Term3/Term2=0/0=undefined. So a GP must have a non-zero common ration, if 'a' is a non-zero number. Which...