Odpowiedź:
a)
an = 1/2n + 2
a₁ = 1/2 * 1 + 2 = 1/2 + 2 = 2 1/2
a₂ = 1/2 * 2 + 2 = 1 + 2 = 3
a₃ = 1/2 * 3 + 2 = 3/2 + 2 = 1,5 + 2 = 3,5
a₄ = 1/2 * 4 + 2 = 2 + 2 = 4
a₁₀ = 1/2 * 10 + 2 = 5 + 2 = 7
b)
an = n²/(n + 1)
a₁ = 1²/(1 + 1) = 1/2
a₂ = 2²/(2 + 1) = 4/3 = 1 1/3
a₃ = 3²/(3 + 1) = 9/4 = 2 1/4
a₄ = 4²/(4 + 1) = 16/5 = 3 1/5
a₁₀ = 10²/(10 + 1) = 100/11 = 9 1/11
