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Incubator Q&A

Welcome to the staging ground for new communities! Each proposal has a description in the "Descriptions" category and a body of questions and answers in "Incubator Q&A". You can ask questions (and get answers, we hope!) right away, and start new proposals.

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Incubator Q&A Fill the 4x4 grid with numbers to make eight arithmetic progressions

In the 4x4 grid below, fill each empty square with a number such that the numbers in each row form an arithmetic progression when read from left to right. Similarly, the numbers in each column shou...

2 answers  ·  posted 2mo ago by will.octagon.gibson‭  ·  last activity 1mo ago by will.octagon.gibson‭

Question puzzles mathematics
#1: Initial revision by user avatar will.octagon.gibson‭ · 2026-08-01T21:58:01Z (about 2 months ago)
Fill the 4x4 grid with numbers to make eight arithmetic progressions
In the 4x4 grid below, fill each empty square with a number such that the numbers in each row form an [arithmetic progression](https://en.wikipedia.org/wiki/Arithmetic_progression) when read from left to right. Similarly, the numbers in each column should form an arithmetic progression when read from top to bottom.  

(An arithmetic progression is a sequence in which each term after the first is obtained from the previous term by adding the same constant which might be negative, zero or positive.  
For example, 3, 5, 7, 9 is a four term arithmetic progression.)  

![4x4 grid whose rows are 27,x,x,x; x,x,x,55; x,x,45,x; x,25,x,x where x represents an empty square in the grid](https://proposals.codidact.com/uploads/jxz7o9j4j84682uvm7244st17mnu)

Inspiration:  2016 Gauss Contest