-16=ar^4 divided 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

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

Step-by-step explanation:

Given geometric sequence terms

a1 = 1,024 and a4 = −16

nth term of geometric sequence is

a1 = 1,024 and also a4 = −16

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

Divide both political parties by 1024

Now take it cube root on both sides

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

a_7 = 0.25

Regardless of the authorize of the common ratio, then, you will have
The yes, really term would be closer come
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You are watching: What is the 7th term of the geometric sequence where a1 = 1,024 and a4 = −16?

choice "A" is correct.

Step-by-step explanation:

Since we have provided that

As we recognize that that is a geometric sequence :

And we require to uncover the 7th term of the geometric sequence.

Hence, option "A" is correct.

The very first term of a geometric series is 1, the typical ratio is 2, and also the sun of the series is 63. How numerous terms are there in this question
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