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Determine whether the sequence below is a geometric sequence and, if so, find a formula that describes the sequence.





2, 4, 8, 16, –32, 64, …







A.

2003-20-02-00-00_files/i0150000.jpg


B.

2003-20-02-00-00_files/i0150001.jpg


C.

2003-20-02-00-00_files/i0150002.jpg


D.

The sequence is not a geometric sequence.

Respuesta :

olemakpadu
2, 4, 8, 16, –32, 64, …

Common ratio = 4/2 = 2

16/8 = 2

But -32/16 = -2.

The ratio is not constant, hence it is not a geometric.

D. The sequence is not a geometric sequence.
raphealnwobi

The geometric sequence is given by aₙ = 2(2)ⁿ⁻¹

Geometric sequence

A geometric sequence is in the form:

aₙ = a(r)ⁿ⁻¹

Where a is the first term, r is the common difference.

From the sequence 2, 4, 8, 16, 32, 64, …

r = 4/2 = 8/4 = 2

a = 2, hence:

aₙ = 2(2)ⁿ⁻¹

The geometric sequence is given by aₙ = 2(2)ⁿ⁻¹

Find out more on Geometric sequence at: https://brainly.com/question/24643676

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