Math, asked by plzhelps267, 1 year ago

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derive
nth term of an AP =L-(n-1)d.....
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Answered by Anonymous
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 \mathbb{ \huge{ \fcolorbox{green}{pink}{SOLUTION:-}}}



\mathbb{ \bold{ \fcolorbox{green}{pink}{USING ARITHMETIC\: THEOREM:-:-}}}



If a be the first term and d is the common Difference and l is the last terms of a given Arithmetic Sequence or Progression then,



we find:- l-(n-1)d



We have ;



last terms=) l-(1-1)d



2nd terms from the end=) (l-d)={l-(2-1)d



Third terms from the end=)l-2d)={l-(3-1)d



Fourth terms from the end=) (l-3d)={l-(4-1)d



So,



Nth terms of Arithmetic Sequence or Progression:-



(l-(n-1)d



Thus, It's Proved!!


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