Clarissa is tearing her test (1 sheet of paper) into small pieces. She picks up a piece of paper and tears it into 4 or 6 smaller pieces. Prove that she can tear the test into any number of pieces greater than 8.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use proof by strong induction. Hint is attached to solve for answer. University level proof

Clarissa is tearing her test (1 sheet of paper) into small pieces. She picks up a piece of paper and tears it into 4 or 6 smaller pieces. Prove that
she can tear the test into any number of pieces greater than 8.
Transcribed Image Text:Clarissa is tearing her test (1 sheet of paper) into small pieces. She picks up a piece of paper and tears it into 4 or 6 smaller pieces. Prove that she can tear the test into any number of pieces greater than 8.
base case
EM
n=9
n=10
nall
nz g
induction step
for some K&N, K211 and for any
и
9≤ m² K, nGN, she can finde
piece of
paper into in preces.
m
prove for K+(
dande into K-2 pieces
K-2
K-3+4
= kal
Transcribed Image Text:base case EM n=9 n=10 nall nz g induction step for some K&N, K211 and for any и 9≤ m² K, nGN, she can finde piece of paper into in preces. m prove for K+( dande into K-2 pieces K-2 K-3+4 = kal
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