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What is the 12th term in the geometric sequence -9,27,-81...?


A) -531441

B) 1594323

C) -4782969

D) 177147



Answer and I will give you brainiliest

Respuesta :

Answer:

  • B) 1594323

Step-by-step explanation:

Given GP

  • -9, 27, -81, ...

To find

  • 12th term

Solution

nth term formula

  • aₙ = a₁rⁿ⁻¹, where r- common ratio, n- number of the term

We have

  • a₁ = -9
  • r = 27/-9 = -81/27 = -3

Find a₁₂

  • a₁₂ = (-9)*(-3)¹¹ = 1594323

Correct choice is B

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