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kayleebeaton
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Find an equation for the nth term of the sequence. -4, -16, -64, -256, ...

Aan = 4 • -4n
Ban = 4 • -4n + 1
Can = -4 • 4n
Dan = -4 • 4n - 1

Verified Answer :

apologiabiology

ok, so seems to be geometric
an=a1(r)^(n-1)

a1=first term
r=commonr atio
n=number of term
first term is -4
common ratio is -16/-4=4

so
a1=-4
r=4

\(a_n=-4(4)^{n-1}\)

D is the answer

shubhamchouhanvrVT

The nth term of the sequence is \(a_n= -4(4)^{n-1}\). Option D is correct.

What is geometric progression?

When there is a constant between the two successive numbers in the series then it is called a geometric series.

The formula for finding the nth term is,

\(a_n = a(r)^{n-1}\)

Given series is -4, -16, -64, -256, ...

a₁ = -4 and r = -16 / -4 = 4

The nth term will be calculated as:-

\(a_n = -4(4)^{n-1}\)

Therefore, the nth term of the sequence is \(a_n= -4(4)^{n-1}\). Option D is correct.

To know more about geometric progression follow

https://brainly.com/question/12006112

#SPJ2

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