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Find an equation for the nth term of the sequence.
-1, -4, -16, -64, ...

1 Answer

7 votes

Answer:

An =4^(n-1)

Explanation:

hello :

the sequence is geometric because : (-64)/(-16) = (-16)/(-4)=-4/-1= 4=r

the nth term is : An =A1 × r^(n-1)

a common ratio is : r and A1 the first term

in this exercice : r =4 A1 = 1

An =A1 × r^(n-1)

An =1 × 4^(n-1)=4^(n-1)

User Dan Williams
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