Answer to Question #315624 in Algebra for HEND

Question #315624

A geometric progression has a second term of 12 and a sum to infinity of 54. Find the possible values of the first term of the progression

Expert's answer

"ar=12, \\;\\frac{a}{1-r}=54."

"r=\\frac{12}{a},\\;\\frac{a^2}{a-12}=54."

"a^2-54a+648=0."

"a=18,\\;a=36."

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