Áp dụng tính chất dãy tỉ số bằng nhau:
`q=(a+3d-2)/(a+2d-7)=(a+2d-7)/(a+d-6)=(a+3d-2-a-2d+7)/(a+2d-7-a-d+6)=(d+5)/(d-1)`
`q=(a+2d-7)/(a+d-6)=(a+d-6)/(a-2)=(a+2d-7-a-d+6)/(a+d-6-a+2)=(d-1)/(d-4)`
`⇒q=(d+5)/(d-1)=(d-1)/(d-4)=(d+5-d+1)/(d-1-d+4)=6/3=2`
`⇒(d-1)/(d-4)=2`
`⇒2(d-4)=d-1`
`⇒2d-8=d-1`
`⇒d=7`
`⇒(a+3d-2)/(a+2d-7)=2`
`⇒(a+21-2)/(a+14-7)=2`
`⇒(a+19)/(a+7)=2`
`⇒a+19=2a+14`
`⇒a=5`
`⇒a+d=12`
`⇒a+2d=19`
`⇒a+3d=26`