Consider an `A.P. a_(1), a_(2), "……"a_(n), "……."` and the G.P. `b_(1),b_(2)"…..", b_(n),"….."` such that `a_(1) = b_(1)= 1, a_(9) = b_(9)` and `underset(r=1)overset(9)sum a_(r) = 369`, then

Consider an A.P. a_(1), a_(2), "……"a_(n), "……." and the G.P. b_(1),b_(2)"…..", b_(n),"….." such that a_(1) = b_(1)= 1, a_(9) = b_(9) and sum_(r=1)^(9) a_(r) = 369 , then

Let a_(1),a_(2),a_(3)"……." be an arithmetic progression and b_(1), b_(2), b_(3), "……." be a geometric progression sequence c_(1),c_(2),c_(3,"…." is such that c_(n)= a_(n) + b_(n) AA n in N . Suppose c_(1) = 1, c_(2) = 4, c_(3) = 15 and c_(4) = 2 . The value of sum of sum_(i = 1)^(20) a_(i) is equal to "(a) 480 (b) 770 (c) 960 (d) 1040"

If a_(1),a_(2),a_(3),…. are in A.P., then a_(p),a_(q),a_(r) are in A.P. if p,q,r are in

For an increasing G.P. a_(1), a_(2), a_(3),.....a_(n), " If " a_(6) = 4a_(4), a_(9) - a_(7) = 192 , then the value of sum_(l=1)^(oo) (1)/(a_(i)) is

Let a_(1), a_(2),…. and b_(1),b_(2),…. be arithemetic progression such that a_(1)=25 , b_(1)=75 and a_(100)+b_(100)=100 , then the sum of first hundred term of the progression a_(1)+b_(1) , a_(2)+b_(2) ,…. is equal to

If a_(1), a_(2), a_(3),........, a_(n) ,... are in A.P. such that a_(4) - a_(7) + a_(10) = m , then the sum of first 13 terms of this A.P., is:

If the points (a_(1),b_(1))m(a_(2),b_(2))" and " (a_(1)-a_(2),b_(2)-b_(2)) are collinear, then prove that a_(1)/a_(2)=b_(1)/b_(2)

Let a_(1), a_(2), a_(3) , … be a G. P. such that a_(1)lt0 , a_(1)+a_(2)=4 and a_(3)+a_(4)=16 . If sum_(i=1)^(9) a_(i) = 4lambda , then lambda is equal to :

Consider A=[(a_(11),a_(12)),(a_(21),a_(22))] and B=[(1,1),(2,1)] such that AB=BA. then the value of (a_(12))/(a_(21))+(a_(11))/(a_(22)) is

The number of functions from f:{a_(1),a_(2),...,a_(10)} rarr {b_(1),b_(2),...,b_(5)} is