Question

Interpole cinco meios aritimeticos entre os numeros 20 e 4

Answer 1

a₁ = 20

a₇ = 4

a₇ = a₁ + (7 - 1) . r ---- 4 = 20 + 6r ----- 6r = 4 - 20 ---- 6r = - 16 --- r = -16/6

r = - 8/3

a₂ = 20 + (2 - 1) . (-8/3) ------ a₂ = 20 - 8/3 ---- a₂ = (60 - 8)/3 --- a₂ = 52/3

a₃ = 20 + 2 . ( -8/3) ----- a₃ = 20 - 16/3 ---- a₃ = (60 - 16)3 ---- a₃ = 44/3

a₄ = 20 + 3 . ( -8/3) --- a₄ = 20 - 24/3 ---- a₄ = 20 - 8 ---- a₄ = 12

a₅ = 20 + 4 . ( -8/3) ---- a₅ = 20 - 32/3 ---- a₅ = (60 - 32)/3 ---- a₅ = 28/3

a₆ = 20 + 5 . ( - 8/3) ---- a₆ = 20 - 40/3 ---- a₆ = (60 - 40)/3 --- 20/3

(20, 52/3, 44/3, 12, 28/3, 20/3, 4)