You are watching: What is the 7th term of the geometric sequence where a1 = 256 and a3 = 16?

-16=ar^4 split by 1024=ar is:-1/64=r^3r=-1/41024=a(-1/4), a=-4096 soa(n)=-4096(-0.25^n)a(7)=-4096(-0.25^7)=0.25

Regardless of the sign of the typical ratio, then, you will haveThe yes, really term would be closer to if girlfriend didn"t need to round.

alternative "A" is correct.

Step-by-step explanation:

Since we have given that

As we recognize that that is a geometric succession :

And we require to discover the 7th ax of the geometric sequence.

Hence, option "A" is correct.

the 7th hatchet of the geometric sequence is 1/4 or 0.25

Step-by-step explanation:

Given geometric succession terms

a1 = 1,024 and also a4 = −16

nth ax of geometric succession is

a1 = 1,024 and a4 = −16

Plug in 4 because that n and also solve because that "r"

Divide both sides by 1024

Now take it cube root on both sides

To find 7th term we plugin n=7 , r= -1/4 , a1 = 1024

a_7 = 0.25

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