Question

II- HALLAR EL n-ésimo TÉRMINO DE LAS SIGUIENTES SUCESIONES: a) 1,4,9,16,25,36, ..... b) 3/2, 4/3, 5/4, 6/5, 7/6, 8/7, ..... c) 1/2, 1/4, 1/8, 1/16, ......

Answer 1

a) 1,4,9,16,25,36,...

Seria: n²

Ya que (1)² = 1: (2)² = 4: (3)² = 9

Termino: n²

b) 3/2, 4/3, 5/4, 6/5

(n + 2)/(n + 1)

Para n = 1

(1 + 2)/(1 + 1) = 3/2

Para n = 2

(2 + 2)/(2 + 1) = 4/3

Para n = 3

(3 + 2)/(3 + 1) = 5/4

Entonces: (n + 2)/(n + 1)

c) 1/2, 1/4, 1/8, 1/16

1/(2^n)

Para n = 1

1/(2^1) = 1/2

Para n = 2

1/(2²) = 1/4

Para n = 3

1/(2³) = 1/8

Entonces: 1/(2^n)