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
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Author:Erwin Kreyszig
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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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