JEE Main & Advanced Mathematics Arithmetic Progressions General Term of an A.P.

General Term of an A.P.

Category : JEE Main & Advanced

(1) Let \['a'\] be the first term and \['d'\] be the common difference of an A.P. Then its \[{{n}^{th}}\] term is \[a+(n-1)d\]i.e., \[{{T}_{n}}=a+(n-1)d\].

 

(2) \[{{p}^{th}}\] term of an A.P. from the end : Let \['a'\] be the first term and \['d'\] be the common difference of an A.P. having \[n\] terms. Then  \[{{p}^{th}}\] term from the end is \[{{(n-p+1)}^{th}}\] term from the beginning

 

i.e., \[{{p}^{th}}\text{ term from the end }=\text{ }{{T}_{(n-p+1)}}=a+(n-p)d\].

 

  • If last term of an A.P. is l then \[{{p}^{th}}\]term from end\[=l-(p-1)d\]



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