HSC Stuff > HSC Mathematics Extension 1

Induction Help!

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davidss:
Hi, can someone help with 14, 24 and 31 please. Thanks in advanced :D

RuiAce:

Dolphax:

jamonwindeyer:

--- Quote from: Dolphax on November 08, 2016, 05:38:23 pm ---

--- End quote ---

Welcome to the forums Dolphax! ;D thanks for the awesome answer :)

Mahan:

--- Quote from: davidss on November 07, 2016, 10:05:13 pm ---Hi, can someone help with 14, 24 and 31 please. Thanks in advanced :D

--- End quote ---

Q14:
Base case: n=1:
the series only contains a  also
that proves the base case.
assume for some n=k
(1)
therefore adding a+kd to (1) yields :

 
 
 
which is the statement for k+1.

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