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Hello, thank you for taking my question. It is:

Write the nth term of the geometric sequence as a function of n.

Note: Anything in parenthesis are subscripts

I am given the first term (a1) as -3

I am also given a(k+1) = -4a(k)

Thank you for your assistance with this question.

Hi Leo,

The nth term of a geometric sequence is given by

T(n) = Ar^n

where A is the first term and r is the common ratio i.e a(n+1)/a(n)

In this case we can see that

A = a(1) = -3

r = a(k+1)/a(k) = -4

and so the nth term of the geometric sequence is

T(n) = -3[(-4)^n]

Regards

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