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Omni-MATH / Given a positive integer n, for all positive integers a₁,a₂,⋯,a_(n) that satisfy a_1 equal{} 1, a_{i plus{} 1} leq a_i plus{} 1, find …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Given a positive integer n n, for all positive integers a1,a2,⋯,an a_1, a_2, \cdots, a_n that satisfy $ a_1 \equal{} 1$, $ a_{i \plus{} 1} \leq a_i \plus{} 1$, find $ \displaystyle \sum_{i \equal{} 1}^{n} a_1a_2 \cdots a_i$.
Plain-text mathematical notation (without MathML)
Given a positive integer n, for all positive integers a₁,a₂,⋯,a_(n) that satisfy $ a_1 \equal{} 1$, $ a_{i \plus{} 1} \leq a_i \plus{} 1$, find $ \displaystyle \sum_{i \equal{} 1}^{n} a_1a_2 \cdots a_i$.
Original LaTeX notation
Given a positive integer $ n$, for all positive integers $ a_1, a_2, \cdots, a_n$ that satisfy $ a_1 \equal{} 1$, $ a_{i \plus{} 1} \leq a_i \plus{} 1$, find $ \displaystyle \sum_{i \equal{} 1}^{n} a_1a_2 \cdots a_i$.

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Source and history

task_id
d283715c-4e69-513f-bf6e-54c220031a24
task_key
test--d283715c-4e69-513f-bf6e-54c220031a24
task_revision_id
1
config / split
/ test

Official source

initial import