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

ash2326
 one year 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
 one year 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?

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

msingh
 one year ago
Best ResponseYou've already chosen the best response.0because thee are n terms and before we have n1 terms

msingh
 one year ago
Best ResponseYou've already chosen the best response.0it goes on decreasing such as n, n1, n2...

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

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

ash2326
 one year ago
Best ResponseYou've already chosen the best response.1you mean the 1 in n1?

ash2326
 one year 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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