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21-08-2021
Mathematics

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Find the 14th term of the geometric sequence 2, 4, 8, ...2,4,8,...

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hhelsinki hhelsinki

21-08-2021

Answer:

14th term is 16,384

Step-by-step explanation:

I. When [tex]a_{n} = a_{1}(r^{n-1} )[/tex]

If n = 14, a = 2 and r = 2

[tex]a_{14} = 2(2^{14-1} )[/tex]

= 2([tex]2^{13}[/tex])

[tex]a_{14}[/tex] = 16,384

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