Answered

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What is the next term of the geometric sequence?
-128/27,32/9,-8/3

Sagot :

semsee45

Answer:

2

Step-by-step explanation:

a1 = -128/27

a2 = 32/9

a3 = -8/3

Therefore, a = a1 = -128/27

r = a3 ÷ a2 = -8/3 ÷ 32/9 = -3/4

So [tex]a_n=ar^{n-1}=-\frac{128}{27} (-\frac{3}{4})^{n-1}[/tex]

Therefore, a4 = (-128/27) x (-3/4)^(4-1)

= (-128/27) x (-3/4)^3

= (-128/27) x (-27/64)

= 2

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