Maths Olympiad Exam Numerical Ability

there is a sequence of numbers such that they are in GP and sum to infinite of number of terms of the sequence is 15 and the sum of their squares is 45 find the first term of the sequence

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Maths Olympiad Other Question

find three numbers in GP whose sum is 52 and the product is 1728 the harmonic mean between two numbers is 48/5 and geometric mean is 12 the two numbers is