Respuesta :

SuperStarlord24

Answer:

536870912

Step-by-step explanation:

the pattern is multiplying by -4

2 * -4 = -8

-8 * -4 = 32

-128, 512, -2048, 8192, -32768, 131072, -524288, 2097152, -8388608, 33554432, -134217728, 536870912

Answer:

[tex]a_{15}=536870912[/tex]

Step-by-step explanation:

Here, the common ratio is [tex]r=-4[/tex] since each consecutive term is being multiplied by -4, and [tex]a_1=2[/tex] since that is the first term:

[tex]a_n=a_1(r)^{n-1}\\\\a_{15}=2(-4)^{15-1}\\\\a_{15}=2(-4)^{14}\\\\a_{15}=2(268435456)\\\\a_{15}=536870912[/tex]

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