[" The sequence "b_(n)" in "GP" which "(b_(4))/(b_(6))=(1)/(4)" and "],[b_(2)+b_(5)=216" then "b_(1)" is "]

The sequence {b_(n)} is a geometric progression with (b_(4))/(b_(6))=(1)/(4) and b_(2)+b_(5)=216. If b_(n)in I AA n in N, then the value of b_(1) is (i)8 (ii) 10( iii) 12(iv)14

Let {t_n} be a sequence of integers in G.P. in which t_4: t_6=1:4 and t_2+t_5=216. Then t_1 is (a). 12 (b). 14 (c). 16 (d). none of these

Let {t_n} be a sequence of integers in G.P. in which t_4: t_6=1:4 and t_2+t_5=216. Then t_1 is (a). 12 (b). 14 (c). 16 (d). none of these

If b_(1),b_(2),b_(3),"….."b_(n) are positive then the least value of (b_(1) + b_(2) +b _(3) + "….." + b_(n)) ((1)/(b_(1)) + (1)/(b_(2)) + "….." +(1)/(b_(n))) 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)andb_(4)=b_(3)+a_(4) . Statement -1 : The numbers b_(1),b_(2),b_(3),b_(4) are neither in A.P. nor in G.P. Statement -2: The numbers b_(1),b_(2),b_(3),b_(4) are in H.P.

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)andb_(4)=b_(3)+a_(4) . Statement -1 : The numbers b_(1),b_(2),b_(3),b_(4) are neither in A.P. nor in G.P. Statement -2: The numbers b_(1),b_(2),b_(3),b_(4) are in H.P.

Suppose four distinct positive numbers a_(1),a_(2),a_(3),a_(4) are in G.P. Let b_(1)=a_(1)+,a_(b)=b_(1)+a_(2),b_(3)=b_(2)+a_(3)andb_(4)=b_(3)+a_(4) . Statement -1 : The numbers b_(1),b_(2),b_(3),b_(4) are neither in A.P. nor in G.P. Statement -2: The numbers b_(1),b_(2),b_(3),b_(4) are in H.P.