Identify a1 and r for the geometric sequence an= -256(-1/4) n-1

The value of the term is -256 and r is -1/4.

In a Geometric Sequence, each term is found by multiplying the previous term by a constant.

The standard formula for finding the nth term of the geometric sequence is;

Where a1 is the first term and r is the common ratio.

The formula for finding the nth term of the geometric sequence is;

The first term of the sequence is;

The second term of the sequence is;

Therefore,

The value of r is;

Hence, the value of the term is -256 and r is -1/4.

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Step-by-step explanation:

The geometric sequence is given by :-

, where a is the first term and r is the constant ratio.

The given explicit formula of nth term :-

First term=

Hence,

Second term =

Now,

hence,