7. An oblong number counts the number of dots in a rectangular array having one more row than it has columns; the rst few of these numbers are 01 = 2 02 = 6 %3D 03 = 12 04 = 20 and in general, the nth...

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7. An oblong number counts the number of dots in a<br>rectangular array having one more row than it has<br>columns; the rst few of these numbers are<br>01 = 2<br>02 = 6<br>%3D<br>03 = 12<br>04 = 20<br>and in general, the nth oblong number is given by<br>O, = n(n + 1). Prove algebraically and geometrically<br>I|<br>that<br>(c)<br>(c)<br>On +n?<br>t2n.<br>(d)<br>

Extracted text: 7. An oblong number counts the number of dots in a rectangular array having one more row than it has columns; the rst few of these numbers are 01 = 2 02 = 6 %3D 03 = 12 04 = 20 and in general, the nth oblong number is given by O, = n(n + 1). Prove algebraically and geometrically I| that (c) (c) On +n? t2n. (d)

Jun 05, 2022
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