Question

regla general de 4,8,14,22,32 ​

Answer 1

c 4 8 14 22 32

+(a+b) +4 +6 +8 +10

+2a +2 +2 +2

Tn = an² + bn + c

Hallando los valores:

2a = 2

a = 1

(a + b) + 2a = 4

b + 3a = 4

b + 3 = 4

b = 1

c + (a + b) = 4

c + 1 + 1 = 4

c = 2

entonces la regla general es:

Tn = n² + n + 2

RESPUESTA: n² + n + 2