Задача 71903 Написать три первых члена ряда ряда...

639070b3f7ae5c19241b6200

01.06.2023 09:54:31

Написать три первых члена ряда ряда (3n-1)/n!^2

5f3ea7e3faf909182968ddd9

01.06.2023 16:56:22

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[m]a_{1}=\frac{3\cdot 1-1}{(1!)^2}[/m]

[m]a_{1}=2[/m]


[m]a_{2}=\frac{3\cdot 2-1}{(2!)^2}[/m]

[m]a_{2}=\frac{5}{4}[/m]


[m]a_{3}=\frac{3\cdot 3-1}{(3!)^2}[/m]

[m]a_{3}=\frac{8}{36}[/m]


[m]a_{n+1}=\frac{3\cdot (n+1)-1}{((n+1)!)^2}[/m]

[m]a_{n+1}=\frac{3n+2}{((n+1)!)^2}[/m]