∵a 1a2a3a4a5=(a3)^5 = 32 =2^5
∴ a3=2
Another 2/q? - 2q？ = 15/2
Simplification: 2-2q 4 = 15q? /2
4 - 4q^4 = 15q？
4q^4 + 15q？ - 4=0
(q？ + 4)(4q？ - 1)=0
∴ q = 1/2
When q= 1/2, these five numbers are: 8, 4, 2, 1, 1/2 respectively.
When q=-1/2, these five numbers are: 8, -4, 2,-1, 1/2 respectively.