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anonymous
 4 years ago
Can anyone derive me the formula for the nth term from the Last , of A.P?
anonymous
 4 years ago
Can anyone derive me the formula for the nth term from the Last , of A.P?

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ash2326
 4 years ago
Best ResponseYou've already chosen the best response.1You want to derive the formula for the nth term of an A.P?

ash2326
 4 years ago
Best ResponseYou've already chosen the best response.1Let the first term be a1 and the common difference be d now second term will be a2=a1+d third term will be a3=a1+d+d=a1+2d Do you get this part?

ash2326
 4 years ago
Best ResponseYou've already chosen the best response.1Now if we go on like that, 4th term is \[a_4=a_1+3d\] Hence nth term will be \[a_n=a_1+(n1)d\] Do you understand this?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0one question..why do we add 1 on last step

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0because thee are n terms and before we have n1 terms

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0it goes on decreasing such as n, n1, n2...

ash2326
 4 years ago
Best ResponseYou've already chosen the best response.1I don't get you, where do you have doubt?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0an=a1+(n−1)d, y there is 1

ash2326
 4 years ago
Best ResponseYou've already chosen the best response.1for seond term a2, we have d or 1d for third term a3, we have 2 d In the formula we have d times ( one no. less than the term no. ) That's why for n we have 1 less than n i.e n1
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