Let `a_(n)` be the nth term of an AP, if `sum_(r=1)^(100)a_(2r)=alpha " and "sum_(r=1)^(100)a_(2r-1)=beta`, then the common difference of the AP is

Let a_(n) be the nth term of an A.P. If sum_(r=1)^(100) a_(2r) = alpha and sum_(r = 1)^(100) a_(2r-1) = beta , then the common difference of the A.P. is :

Let a_n be the n^(t h) term of an A.P. If sum_(r=1)^(100)a_(2r)=alpha & sum_(r=1)^(100)a_(2r-1)=beta, then the common difference of the A.P. is -

Let a_(n) be the n^(th) term of an A.P.If sum_(r=1)^(100)a_(2r)=alpha&sum_(r=1)^(100)a_(2r-1)=beta, then the common difference of the A.P.is alpha-beta(b)beta-alpha(alpha-beta)/(2)quad (d) None of these

Let a_n be the n^(t h) term of an A.P. If sum_(r=1)^(100)a_(2r)=alpha&sum_(r=1)^(100)a_(2r-1)=beta, then the common difference of the A.P. is (a) alpha-beta (b) beta-alpha (c) (alpha-beta)/2 (d) None of these

Let a_n be the nth therm of a G.P of positive numbers .Let Sigma_(n=1)^(100) a_(2n)=alpha and Sigma_(n=1)^(100)a_(an-1)=beta then the common ratio is

Let a_(n) be the nth term of a G.P.of positive numbers.Let sum_(n=1)^(100)a_(2n)=alpha and sum_(n=1)^(100)a_(2n-1)=beta, such that alpha!=beta, then the common ratio is alpha/ beta b.beta/ alpha c.sqrt(alpha/ beta) d.sqrt(beta/ alpha)

Let a_n be the nth term of a G.P. of positive numbers. Let sum_(n=1)^(100)a_(2n)=alpha and sum_(n=1)^(100)a_(2n-1)=beta , such that alpha!=beta , then the common ratio is (a) alpha//beta b. beta//alpha c. sqrt(alpha//beta) d. sqrt(beta//alpha)

Let a_n be the nth term of a G.P. of positive numbers. Let sum_(n=1)^(100)a_(2n)=alpha and sum_(n=1)^(100)a_(2n-1)=beta , such that alpha!=beta , then the common ratio is (a) alpha//beta b. beta//alpha c. sqrt(alpha//beta) d. sqrt(beta//alpha)