Given two A.P.s 2,5,8,11` cdots , T_(60)` and 3,5,7,9,`cdots , T_(50)` . Then find the number of terms which are indentical .

Let t_(n) , n = 1,2,3,cdots be the n^(th) term of the A.P. 5,8,11, cdots . Then the value of n for which t_(n) = 305 is

Suppose that the first and the 5^(th) terms of an A.P. are-14 and 2 respectively If the sum of the terms of the A.P is 40, find the number of terms in the A.P.

Given that P (3,2,-4), Q(5,4,-6) and R(9,8,-10) are collinear. Find the ratio in which Q divides PR.

Find the sum of n terms of the series : 5+7 +13 +31+85 + cdots .

Given that P(3,2,-4), Q(5,4,-6) and R(9,8,-10) are collinear. Find the ratio in which Q divides PR.

Given the points P(1,-1,3), Q(2,-4,5) and R(5,-13,11) Find the ratio in which Q divides PR

The sums of n terms of two A.P.s are in the ratio (5n + 4): (9n + 6). Find the ratio of their 18^(th) terms.

Let a_(1) ,a_(2) ,a_(3) ,cdots ,a_(n) are in A.P such that a_(n) =100 , a_(10)- a_(39 ) = (3)/(5) then find the 15^(th) term of A.P. from end.

If the sixth term fo an A.P. is equal to 2 then find the value of the common difference of the A.P which makes the produt a_(1) a_(4) a_(5) the greatest ( the ith term is denoted by a )