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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 03 = 12 04 = 20 and in general, the nth oblong number is given by O, = n(n + 1). Prove algebraically and geometrically that (c) On +n? = t2n-

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 03 = 12 04 = 20 and in general, the nth oblong number is given by O, = n(n + 1). Prove algebraically and geometrically that (c) On +n? = t2n-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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)
Transcribed Image 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)
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