Home
Class 10
MATHS
For each geometric progressions find the...

For each geometric progressions find the common ratio 'r'. And then find `a_(n)`.
(i) `3,3/2, 3/4, 3/8`,……
(ii) `2,-6, 18, -54`
(iii) `-1,-3,-9, -27`,…..
(iv) `5,2, 4/5, 8/25`,…..

Text Solution

Verified by Experts

The correct Answer is:
(i) `r=1/2, a_(n) = 3(1/2)^(n-1)`,
(ii) `r=-3, a_(n) = 2(-3)^(n-1)`
(iii) r=3; `a_(n) =(-1)(3)^(n-1)`
(iv) `r= 2/5; a_(n) = 5(2/5)^(n-1)`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    NCERT TAMIL|Exercise OPTIONAL EXERCISE (FOR EXTENSIVE LEARNING)|7 Videos

  • PROGRESSIONS

    NCERT TAMIL|Exercise EXERCISE 6.4|4 Videos

  • PROBABILITY

    NCERT TAMIL|Exercise THINK AND DISCUSS|3 Videos

  • QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise OPTIONAL EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

Find the distance between the given points. (i) A(3,-4), B(-5,6), (ii) P(10, -8), Q, (-3, -2) (iii) K(0,-5), L (-5, 0) (iv) I(3.5, 6.8), J(1.5,2.8)

Find the domain and range of the following (i) f = {(1,2),(2,3),(3,4),(4,5),(5,6)}

For the following APs, write the first term and the common difference: (i) 3,1, -1,-3 ,…. (ii) -5,-1,3,7 ,…….. (iii) 1/3, 5/3, 9/3, 13/3 ,……… (iv) 0.6, 1.7 , 2.8, 3.9 ,………

Find the the indicated term of each Geometric, Progression (i) a_(1) = 9, r=1/3 , find a_(7) , (ii) a_(1) =-12, r=1/3 , find a_(6)

In a graph Sheet Plot each pairs of points, join them by line segments. (i) (2,5), (4,7) (ii) (-3,5), (-1,7) (iii) (-3,-4), (2,-4) (iv) (-3,-5), (2,-5) (v) (4,-2), (4,-3) (vi) (-2,4), (-2,3) (vii) (-2,1), (-2,0) (viii) (4,7), (4,-3) (ix) (4,-2), (2,-4) (x) (4,-3, (2,-5) (xi) (2,5), (2,-5) (xii) (-3,5), (-3,-5) (xiii) (-3,5), (2,5) (xiv) (-1,7), (4,7)

Find the union of the following sets. A = {1, 2, 3, 5, 6} and B = {4, 5, 6, 7, 8}

Find the rank of each of the following matrices: (i) [{:(3,2,5),(1,1,2),(3,3,6):}] (ii) [{:(4,3,1,-2),(-3,-1,-2,4),(6,7,-1,2):}]

Find the transpose of each of the following matrices: (i)[(5),((1)/(2)),(-1)] (ii) [(1,-1),(2,3)] (iii) [(-1,5,6),(sqrt(3),5,6),(2,3,-1)]