Find The Eighth Term Of A Geometric Sequence Where The Third Term Is 27 And The Common Ratio Is 3., A. 2187 , B. 6561 , C. 19 683 , D. 59 049

Find the eighth term of a geometric sequence where the third term is 27 and the common ratio is 3.

a. 2187
b. 6561
c. 19 683
d. 59 049

 

Answer:

B. 6561

Step-by-step explanation:

a₃ = 27, r = 3

a₃ = a₁ · r²

27 = a₁ · 3²

27 = 9a₁

a₁ = 3

a₈ = a₁ · r⁷

a₈ = 3 · 3⁷

a₈ = 3⁸

a₈ = 6561


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