Question Number 47280 by KMA last updated on 07/Nov/18
$${A}\:{geometric}\:{progression}\:{bas}\:{three} \\ $$$${terms}\:{a}\:,{b}\:,{c}\:{whose}\:{sum}\:{is}\:\mathrm{42}.{If}\:\mathrm{6} \\ $$$${is}\:{added}\:{to}\:{each}\:{of}\:{the}\:{firs}\:{two}\:{term} \\ $$$${and}\:\mathrm{3}\:{to}\:{the}\:{third}\:,{a}\:{new}\:{G}.{P}.\:{result} \\ $$$${whose}\:{first}\:{term}\:{is}\:{the}\:{same}\:{as}\:{n}. \\ $$$${Find}\:{a},{band}?{c}. \\ $$