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Arithmetic Progression(A.P)#!#Nth Term#!...

Arithmetic Progression(A.P)#!#Nth Term#!#Sum of A.P

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Introduction || Sequence || Series || Progression || Arithmatic Progression (A.P.) || A.P.terminologies || Consecutive terms OF A.P. || General apperence OF A.P. || Common difference OF A.P. Condition for a sequence to be A.P

Definition|Arithmetic Progression (A.P)|Exercise Questions|OMR

Suppose that all the terms of an arithmetic progression (A.P.) are natural numbers. If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6 : 11 and the seventh term lies in between 130 and 140, then the common difference of this A.P. is

Let fourth therm of an arithmetic progression be 6 and m^(th) term be 18. If A.P has intergal terms only then the numbers of such A.P s is "____________"

(a) The nth term of a progression is (3n + 5) . Prove that this progression is an arithmetic progression. Also find its 6th term. (b) The nth term of a progression is (3 - 4n) . Prove that this progression is an arithmetic progression. Also find its common difference. (c) The nth term of a progression is (n^(2) - n + 1). Prove that it is not an A.P.

If T_(54) is an fifty fourth term of an Arithmetic Progression is 61 and T_(4) is fourth term of an same Arithmetic progression is 64, then T_(10) of that series will be : ( T_(n)=n^("th ") term of an A.P.)