Explicit equation for the nth term of the geometric sequence 3584,896,224,

The explicit equation for the nth term of the geometric sequence 3584, 896, 224 is:

Solution:

Given that we have to find the explicit equation for nth term of geometric sequence

Given sequence is:

3584, 896, 224

A geometric sequence has a common ratio

Let us find the common ratio. Divide each term by the previous term.

Thus the common ratio is 0.25

The formula for nth term of geometric sequence is given as:

Where,

is the nth term of sequence

a is the first term of sequence

r is the common ratio

Here in given sequence 3584, 896, 224

first term = a = 3584

common ratio = r = 0.25

Therefore,

"n" is a natural positive number greater than or equal to 1

Thus the explicit equation to find nth term is found

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step-by-step explanation: