zxadanie z ciągow w załączniku ~!
a) a₄ = 5a₄ = a₃ * qa₃ = a₄/q
25a₃ = 16a₅25(a₄q) = 16(a₄*q)25a₄/q = 16*5q25a₄ = 80q^280q^2 = 12580q^2 - 125 = 0Δ = 0+40000 = 40000√Δ = 200
q = -200/160 lub q = 200/160q = -1.25 lub q = 1.25
a₄ = a₁ * q³a₁ = a₄ / q³a₁ = 5 / 1,953125 lub a₁ = 5 / -1,953125a₁ = 2,56 lub a₁ = -2,56
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a) a₄ = 5
a₄ = a₃ * q
a₃ = a₄/q
25a₃ = 16a₅
25(a₄q) = 16(a₄*q)
25a₄/q = 16*5q
25a₄ = 80q^2
80q^2 = 125
80q^2 - 125 = 0
Δ = 0+40000 = 40000
√Δ = 200
q = -200/160 lub q = 200/160
q = -1.25 lub q = 1.25
a₄ = a₁ * q³
a₁ = a₄ / q³
a₁ = 5 / 1,953125 lub a₁ = 5 / -1,953125
a₁ = 2,56 lub a₁ = -2,56