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A geometric sequence is represented by an=a1r^n-1. What is the fifth term of a geometric sequence where a1=4,096 and the common ratio is -1/4

Respuesta :

Answer:

a5= 16

Step-by-step explanation:

an = a1 * r^(n-1)

a1 =4096

r =( -1/4)

n =5

substitute in what we know

a5 = 4096 * (-1/4 ) ^ (5-1)

a5 = 4096 * (-1/4 ) ^ (4)

a5 = 4096 * (1/256)

a5= 16