32 is the fourth term and it is half of the first term.
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a) If this arithmetic progrssion,then: a4 = a1 + 3d = 32 and a4 = 1/2a1. So a1 = 2a4 = 64, 3d = a4 - a1 = 32 - 64 = - - 32. So d = - 32/3.
b) If this is geometric progression, then a4 = a1r3 = 32, a4 = 1/2 a1; a1 = 2a4 = 64; 32 = 64r3, r = (1/2)1/3.
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