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OpenStudy (anonymous):
@Agl202
Nnesha (nnesha):
first check is n=1 true statement or not ?
substitute n for 1
OpenStudy (anonymous):
how do i do that
OpenStudy (anonymous):
sorry im really slow today i jsut got home from base
Nnesha (nnesha):
\[n^2-n+2 =2 \] substitute n for 1
do you get equal sides ?
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OpenStudy (anonymous):
not really sorry
Nnesha (nnesha):
these are the steps for mathematical induction
`1st)` substitute n for 1 to check is the L.H.S = R.H.S ? if the statement is true then next step is
`2nd)` assume it is true for n=k (substitute n for k) this step is called " induction assumption'
`3rd)` substitute n for k+1 and we want to show the statement is true for n= k+1 based on the 2nd step assumption
OpenStudy (anonymous):
ohh ok
Nnesha (nnesha):
what do you mean
replace n with one and then solve left side
both sides are equal at the end ?
OpenStudy (anonymous):
what?? im confused
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OpenStudy (anonymous):
why did you ask that question for?
OpenStudy (anonymous):
@surjithayer plz help me im so confused rn
Nnesha (nnesha):
\(\color{blue}{\text{Originally Posted by}}\) @Nnesha
\[n^2-n+2 =2 \] substitute n for 1
do you get equal sides ?
\(\color{blue}{\text{End of Quote}}\)
this is simple algebra
substitute n for 1
then solve left side
Nnesha (nnesha):
if both sides are equal THEN we can work on 2nd step
OpenStudy (anonymous):
and how do we do that
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