Formulate the recursive formula for the following geometric sequence. {-16, 4, -1, }

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Step-by-step explanation:

We are given a geometric sequence { -16, 4, -1, .... }

i.e. , , , ...

We will first find the common ratio 'r'.

Now,

i.e.

i.e.

i.e.

Similarly, i.e.

i.e.

So, we get that the common ratio is .

Now, the recursive formula for the geometric sequence is given by,

i.e.

i.e. .

Hence, the recursive formula for this sequence is .

2

step-by-step explanation:

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20

step-by-step explanation: