Question

El primer termino de una sucesion es 1/3
Y aumenta constantemente 0.5 cuales son los primeros 10 terminos de la sucesion

Answer 1

Hola Naomisaldivar30,

Simplemente vas sumando 0.5 a 1/3, y luego al resultado y así sucesivamente.

1 termino: 1/3
2 termino: 1/3 + 0.5 = 5/6
3 termino: 5/6 + 0.5 = 4/3
4 termino: 4/3 + 0.5 = 11/6
5 termino: 11/6 + 0,5 = 7/3
6 termino: 7/3 + 0.5 = 17/6
7 termino: 17/6 + 0.5 = 10/3
8 termino: 10/3 + 0.5 = 23/6
9 termino: 23/6 + 0.5 = 13/3
10 termino: 13/3 + 0,5 = 29/6

Answer 2

Tenemos.
0,5 = 5/10 = 1/2

a₁ = 1/3
a₂ = 1/3 + 1/2 = 2/6 + 3/6 = 5/6
a₃ = 5/6 + 1/2 = 5/6 + 3/6 = (5 + 3)/6 = 8/6 = 4/3
a₄ = 4/3 + 1/2 = 8/6 + 3/6 = (8 + 3)/6 = 11/6
a₅ = 11/6 + 1/2 = 11/6 + 3/6 = (11 + 3)/6 = 14/6 = 7/3
a₆ = 7/3 + 1/2 = 14/6 + 3/6 = (14 + 3)/6 = 17/6
a₇ = 17/6 + 1/2 = 17/6 + 3/6 = (17 + 3)/6 = 20/6 = 10/3
a₈ = 10/3 + 1/2 = 20/6 + 3/6 = (20 + 3)/6  = 23/6
a₉ = 23/6 + 1/2 = 23/6 + 3/6 = (23 + 3)/6 = 26/6 = 13/3
a₁₀ = 13/3 + 1/2 = 26/6 + 3/6 = (26 + 3)/6 = 29/6

Respuesta.
1/3. 5/6 . 4/3 . 11/6 . 7/3 . 17/6 . 10/3 . 23/6 . 13/3 . 29/6