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MATH / A sequence of numbers a₁, a₂, a₃, a₄, …, has the property that each term after the first is one less than the product of its two neighbors. If a₁=1492 and a₂=1776, then determine …

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problem

A sequence of numbers a1,a_1, a2,a_2, a3,a_3, a4,a_4, …,\dots, has the property that each term after the first is one less than the product of its two neighbors. If a1=1492a_1 = 1492 and a2=1776,a_2 = 1776, then determine a2003.a_{2003}.
Plain-text mathematical notation (without MathML)
A sequence of numbers a₁, a₂, a₃, a₄, …, has the property that each term after the first is one less than the product of its two neighbors.  If a₁=1492 and a₂=1776, then determine a₂₀₀₃.
Original LaTeX notation
A sequence of numbers $a_1,$ $a_2,$ $a_3,$ $a_4,$ $\dots,$ has the property that each term after the first is one less than the product of its two neighbors.  If $a_1 = 1492$ and $a_2 = 1776,$ then determine $a_{2003}.$

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
4889b605-bfa2-5512-a450-6c9616c51e68
task_key
intermediate~5falgebra--test--4889b605-bfa2-5512-a450-6c9616c51e68
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import