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MATH / Let x₁=97, and for n>1, define x_(n)=(n)/(x_(n−1)). Calculate x₁x₂⋯x₈.

Problem

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problem

Let x1=97,x_1=97, and for n>1,n>1, define xn=nxn−1.x_n=\frac{n}{x_{n-1}}. Calculate x1x2⋯x8.x_1x_2 \cdots x_8.
Plain-text mathematical notation (without MathML)
Let x₁=97, and for n>1, define x_(n)=(n)/(x_(n−1)). Calculate x₁x₂⋯x₈.
Original LaTeX notation
Let $x_1=97,$ and for $n>1,$ define $x_n=\frac{n}{x_{n-1}}.$ Calculate $x_1x_2 \cdots x_8.$

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
589f3d74-0ffd-5db2-ba59-67e5e68dd9ed
task_key
intermediate~5falgebra--test--589f3d74-0ffd-5db2-ba59-67e5e68dd9ed
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import