Given the equal ratio sequence a1 + A6 = 11, A3 * A4 = 32 / 9, find an

Then a1a6 = a3a4 = 32 / 9
a1+a6=11
So A1, A6 are the roots of the equation x & sup2; - 11x + 32 / 9 = 0
A1 = 32 / 3, A6 = 1 / 3 or A1 = 1 / 3, A6 = 32 / 3
Q ^ 5 = A6 / A1 = 1 / 32 or 32
Q = 1 / 2 or 2
So an = 32 / 3 * (1 / 2) ^ (n-1) or an = 1 / 3 * 2 ^ (n-1)

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