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The first term of a geometric sequence
is -2. The common ratio is 4. What is
the 6th tem?
F -8192
H 2048
G -2048
J 8192

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Answer:

Step-by-step explanation:

a₆ = a₁r⁶⁻¹ = (-2)4⁵ = -2048

The sixth term of the given sequence is required.

The required term is option G -2048.

Geometric sequence

a = First term = -2

r = Common ratio = 4

n = Required term = 6

The general formula to find a term of the sequence is given by

[tex]a_n=ar^{n-1}[/tex]

Substituting the values we get

[tex]a_6=-2\times 4^{6-1}\\\Rightarrow a_6=-2\times 4^5\\\Rightarrow a_6=-2\times 4\times 4\times 4\times4\times 4\\\Rightarrow a_6=-2048[/tex]

Learn more about geometric sequence:

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