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MATH / Two geometric sequences a₁,a₂,a₃,… and b₁,b₂,b₃,… have the same common ratio, with a₁=27, b₁=99, and a₁₅=b₁₁. Find a₉.

Problem

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problem

Two geometric sequences a1,a2,a3,…a_1, a_2, a_3, \ldots and b1,b2,b3,…b_1, b_2, b_3, \ldots have the same common ratio, with a1=27a_1 = 27, b1=99b_1=99, and a15=b11a_{15}=b_{11}. Find a9.a_9.
Plain-text mathematical notation (without MathML)
Two geometric sequences a₁,a₂,a₃,… and b₁,b₂,b₃,… have the same common ratio, with a₁=27, b₁=99, and a₁₅=b₁₁. Find a₉.
Original LaTeX notation
Two geometric sequences $a_1, a_2, a_3, \ldots$ and $b_1, b_2, b_3, \ldots$ have the same common ratio, with $a_1 = 27$, $b_1=99$, and $a_{15}=b_{11}$. Find $a_9.$

level

Level 2

type

Intermediate Algebra

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Source and history

task_id
444e8160-e2a5-5cd7-8b43-a066eef5a6e8
task_key
intermediate~5falgebra--test--444e8160-e2a5-5cd7-8b43-a066eef5a6e8
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import