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`n^(th)` term of Arithmetic progression is called ___

If m time the m^(th) term of an Arithmetic Progression is equal to n times its n^(th) term and mnen ,show that the (m+n)^(th) term of the AP is zero .

If the n^(th) term of an arithmetic progression is (2n-1). Find the 7^(th) term.

If 9 times the 9^(th) term in an arithmetic progression is equal to 15 times the 15^(th) term in arithmetic progression , what is the 24^(th) term ?

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.)

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.)

Let a_n be the n^(th) term of an arithmetic progression. Let S_(n) be the sum of the first n terms of the arithmetic progression with a_1=1 and a_3=3_(a_8) . Find the largest possible value of S_n .

The sum of the first n-terms of the arithmetic progression is equal to half the sum of the next n terms of the same progression.Find the ratio of the sum of the first 3n terms of the progressionto the sum of its first n-terms.

The sum of the first three terms of an arithmetic progression is 9 and the sum of their squares is 35. The sum of the first n terms of the series can be

If the sum of the first 100 terms of an arithmetic progression is -1 and the sum of the even terms is 1, then the 100^("th") term of the arithmetic progression is