Home
Class 12
MATHS
Sequence {t(n)} of positive terms is a G...

Sequence `{t_(n)}` of positive terms is a G.P. If `r _(6), 2,5 t _(14)` form another G.P. in that order, then the prodct `t _(1)t _(2) t _(3)….. T _(18)t _(19)` is equal to :

A

190

B

`10^(10)`

C

`10^((19)/(2))`

D

`10^(9)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Sequence {t_n} of positive terms is a G.P If t_6 2, 5, t_14 form another G.P in that order then the product t_1 t_2 t_3........t_18 t_19 is equal to

Two planets are at distance R_1 and R_2 from the Sun. Their periods are T_1 and T_2 then (T_1/T_2)^2 is equal to

In a GP, first term is 1. If 4T_(2) + 5T_(3) is minimum, then its common ratio is

It T_(k) denotes the k ^(th) term of an H.P. from the bgegining and (T_(2))/(T_(6)) =9, then (T_(10))/(T_(4)) equals :

Let {t_(n)} is an A.P If t_(1) = 20 , t_(p) = q , t_(q) = p , find the value of m such that sum of the first m terms of the A.P is zero .

If t_r denotes the r^(th) term of an G.P. and t_1 t_5 t_10 t_16 t_21 t_25 = 512 , then the value of its 13^(th) term is :

If first and eightth terms of a G.P. are x^(-4) and x^(52) and its second term is x^(t) then t is equal to

If the p^(t h) term of an A.P. is q and the q^(t h) term is p , prove that its n^(t h)t e r mi s(p+q-n)dot

If the p^(t h) term of an A.P. is q and the q^(t h) term is p , prove that its n^(t h)t e r mi s(p+q-n)dot

If (m+1)^(t h) term of an A.P. is twice the (n+1)^(t h) term, prove that (3m+1)^(t h) term is twice the (m+n+1)^(t h) term.