[" Consider the "APa_(1),a_(2),...,a_(n),..." the GP "],[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 "]

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 b_(6)=27 (b) b_(7)=27b_(8)=81 (d) b_(9)=81

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

If a_(1),a_(2),a_(3)...b_(1),b_(1),b_(2),b_(3)...... are in AP. Such that a_(1)+b_(1)=a_(100)+b_(100)=16 and sum_(x=1)^(n)r(a_(r)+b_(r))=576 the find n

Let a_(1),a_(2),a_(3)... and b_(1),b_(2),b_(3)... be arithmetic progressions such that a_(1)=25,b_(1)=75 and a_(100)+b_(100)=100 then the sum of first hundred terms of the progression a_(1)+b_(1)a_(2)+b_(2) is

Suppose four distinct positive numbers a_(1),a_(2),a_(3),a_(4) are in G.P.Let b_(1)=a_(1),b_(2)=b_(1)+a_(2)*b_(3)=b_(2)+a_(3) and b_(4)=b_(3)+a_(1)

For a sequence, if a_(1)=2 and (a_(n+1))/(a_(n))=(1)/(3). Then, sum_(r=1)^(20) a_(r) 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)

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)

For a sequence {a_(n)},a_(1)=2 and (a_(n+1))/(a_(n))=(1)/(3) then sum_(r=1)^(20)a_(r) is

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