Show that in any geometric series the difference between the limiting sum and the sum 97-n 1-r' of n terms is
Show that in any geometric series the difference between the limiting sum and the sum 97-n 1-r' of n terms is
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:c Evaluate p if the limiting sum of the series is
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Show that in any geometric series the difference between the limiting sum and the sum
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1-r
of n terms is
EXT1
I
1.07 Proof by mathematical induction
proving mathematical statements.
There are many
different
of
ways
4-STU
You have already used proof by deduction that use known facts to prove statements.
The Mathematics Extension 2 course has an entire topic on mathematical proof.
1+
3
INVESTIGATION
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PROOF
Research different types of proofs and find out where each type is used.
1 Find some examples of deductive proofs.
2
Two well-known proofs by contradiction are proving that √2 is irrational, and that
the set of primes is infinite. Find some other examples of proof by contradiction.
3 What other types of proofs can you find?
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