Home
Class 11
MATHS
Which term of the sequence sqrt(3),3,3sq...

Which term of the sequence `sqrt(3),3,3sqrt(3)` ……….. Is 729?

Text Solution

Verified by Experts

`n^(th)` term =729
Here `a=sqrt(3),r=sqrt(3)`
`729=ar^(n-1)=sqrt(3)(sqrt(3))^(n-1)=(sqrt(3))^(n)=3^(n//2)`
`3^(6)=3n//2`
`therefore(n)/(2)=6rArrn=12`
`thereforea_(12)=729`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    SUBHASH PUBLICATION|Exercise solved example (FIVE MARKS QUESTIONS WITH ANSWERS)|9 Videos

  • RELATIONS AND FUNCTIONS

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTIONS WITH ANSWERS|8 Videos

  • SETS

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESETION WITH ANSWERERS|15 Videos

Similar Questions

Explore conceptually related problems

Which term of the following sequences: (a) 2,2sqrt4,4.......... is 128 ? (b) sqrt3,3,3sqrt3 ,............. is 729 ? (c) 1/3,1/9,1/(27),......." is " 1/19683 ?

Which terms of the GP: (i) 2,8,32,…… is 512? (ii) sqrt(3), 3,3sqrt(3) ,…………… is 729? (iii) 1/3, 1/9, 1/27 ,…………. Is 1/(2187) ?

The amplitude of (1+i sqrt(3))/(sqrt(3)+i)

Is -sqrt(3) a root of the equation x^(2)+(sqrt(3)+1)x+sqrt(3)=0 ?

Solve the equation 3sqrt((x+3))-sqrt((x-2))=7

int dx/(sqrt(3x+5)-sqrt(3x+2)) =

The sum to n terms of the series (1)/(sqrt(1)+sqrt(3))+(1)/(sqrt(3)+sqrt(5))+(1)/(sqrt(5)+sqrt(7))+.. .

The argument of (1-i sqrt(3))/(1+i sqrt(3))=