2 Triangular numbers. Devise a formula for the sum of the first n consecutive hypercubes, i.e. 14 +24+. tn*, ...
2 Triangular numbers. Devise a formula for the sum of the first n consecutive hypercubes, i.e. 14 +24+. tn*, ...
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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Transcribed Image Text:Prove the inclusion-exclusion principle for 4 sets:
#(AUBUCUD)
... = #(A) + #(B) + #(C) + #(D) – ...
..-#(A^B)-#(ANC) - #(AND) - #(BnC) - #(BnD) - #(CnD) +...
...+#(AnBnC)+#(AnBnD)+#(ANCND)+#(BnCnD) - ...
... - #(AnBnCND).
Transcribed Image Text:2 Triangular numbers.
Devise a formula for the sum of the first n consecutive hypercubes, i.e.
and prove its correctness.1
14 + 24 +
...
tn*,
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