Exercise 10.
Is there a pair of integers \((a,b)\) such that \(a, x_1, y_1, b\) is part of an arithmetic sequences and \(a, x_2, y_2, b\) is part of a geometric sequence with \(x_1, x_2, y_1, y_2\) all integers?
Is there a pair of integers \((a,b)\) such that \(a, x_1, y_1, b\) is part of an arithmetic sequences and \(a, x_2, y_2, b\) is part of a geometric sequence with \(x_1, x_2, y_1, y_2\) all integers?