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
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd43ad3b4-2840-47be-a07b-d28cf59cfc6b%2Fcf033046-fce5-48c2-970b-eb20300cc897%2F0xxf8l4_processed.jpeg&w=3840&q=75)
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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