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Can anyone derive me the formula for the nth term from the Last , of A.P?
 one year ago
 one year ago
Can anyone derive me the formula for the nth term from the Last , of A.P?
 one year ago
 one year ago

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ash2326Best ResponseYou've already chosen the best response.1
You want to derive the formula for the nth term of an A.P?
 one year ago

ash2326Best ResponseYou've already chosen the best response.1
Let 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?
 one year ago

ash2326Best ResponseYou've already chosen the best response.1
Now 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?
 one year ago

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

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

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

ash2326Best ResponseYou've already chosen the best response.1
I don't get you, where do you have doubt?
 one year ago

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

ash2326Best ResponseYou've already chosen the best response.1
you mean the 1 in n1?
 one year ago

ash2326Best ResponseYou've already chosen the best response.1
for 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
 one year ago
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