a₈ = 2*a₃
a₂₀ = 110
d - ?
a_n = a₁ + (n-1)*d,
a₈ = a₁ + 7d,
a₃ = a₁ + 2d
a₂₀ = a₁ + 19d,
a₁ + 7d = 2*(a₁ + 2d),
a₁ + 7d = 2a₁ + 4d,
7d - 4d = 2a₁ - a₁
a₁ = 3d,
a₁ + 19d = 110,
3d + 19d = 110,
22d = 110,
d = 110/22 = (11*2*5)/22 = 5.
Ответ. d=5.
Раскрываем скобки:
х/2+х/3=4+1
5х/6=5
х=6
27364
+9832
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3. 7196