Elementary Math Education

Send Answer to: mathed@pegasus.cc.ucf.edu

If the consecutive odd counting numbers are arranged as shown, what is the middle number in the 23rd row, and what is the sum of all the numbers in the 23rd row?

                           1                                        row 1
                     3             5                               row 2
              7            9            11                        row 3
      13         15           17           19                  row 4
21         23          25           27            29          row 5

Correct Solutions :

1. Erica Blake. Walnut Creek MS, Erie, PA
2. J.J. Goldstein. Hebrew Academy, West Hempstead, NY
3. Matthew Strausser. St. Thomas More, Houston, TX
4. Hugh Millar. Scotch College JS, Torrens Park, South Australia
5. Jean Huang. Talahi ES, St. Cloud, MN
6. Lisa Gardner. Boyette Springs ES, Riverview, FL
7. Ouqi Jinag. Gentry MS, Columbia, MO
8. Edmond Choi. A.Y. Jackson Secondary School, Toronto, Ontario
9. Suzanne van Winkel. De Elzenheuvel, Leidschendam, The Netherlands
10. Erin Lutes. Alafia ES, Valrico, FL
11. Andrew Lutes. Alafia ES, Valrico, FL
12. Jua Pablo Lagos. St. Gabriel English School, Santiago, Chile
13. Stephanie Neuman. Ridgefield ES, Erie, PA
14. Joshua Gilbert. Atkinson ES, Newnan, GA
15. Stephen Brown. St. Thomas More PS, Houston, TX
16. Leonard Anghelescu. Broadlands PS, North York, Ontario, Canada
17. Andrea Coots. City Park School, Dalton, GA
18. Aditya Jayaraman. Andheri(W), Mumbai, India
19. Jacob Kushkuley. CT Douglas ES, Acton, MA
20. Yahya Mohammed. Bluewater Elementary, Niceville, FL
21. Erika Gargan. Babylon ES, West Babylon, NY
22. Rebecca Chan. Westmead PS, NSW, Australia
23. Nicholas Schaedel. Scotch College JS, Torrens Park, South Australia