Home
Class 10
MATHS
Write three terms of the GP when the fir...

Write three terms of the GP when the first term 'a' and the common ratio 'r' are given?
(i) a=4, r=3
(ii) `a=sqrt(5), r=1/5`
(iii) `a= 81, r=-1/3`,
(iv) `a= 1/64, r=2`

Text Solution

Verified by Experts

The correct Answer is:
(i) 4,12,36……, (ii) `sqrt(5), sqrt(5)/2, sqrt(5)/25`,…..
(iii) 81, `- 27, 9`,…….
(iv) `1/64, 1/32, 1/16`,…..,…
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    NCERT BANGLISH|Exercise EXERCISE 6.5|7 Videos

  • PROGRESSIONS

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

  • PROGRESSIONS

    NCERT BANGLISH|Exercise EXERCISE 6.3|14 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise THINK AND DISCUSS|3 Videos

  • QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise OPTIONAL EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

Write the GP if the first term a=3, and the common ratio r=2.

Write first four terms of the AP, when the first term a and the common difference d are given as follows: (i) a=10, d=10 (ii) a=-2, d=0 (iii) a=4, d =-3 (iv) a=-1, d=1/2 (v) a=-1.25, d= -0.25

The third term of a G.P. is b and its common ratio is r , then its first term =

Consider an infinite geometric series with first term a and common ratio r . If its sum is 4 and the second term is 3/4, then (a) a=4/7, r=3/7 (b). a=2, r=3/8 (c). a=3/2, r=1/2 (d). a=3, r=1/4

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)

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 ,………

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 ,…..

Consider an infinite geometric series with first term a and common ratio r, if its sum is 4 and the second term is 3/4 then

The second term of a G.P. is b and the common ratio is r. If the product of the first three terms of this G.P. is 64, find b.

If S_(n) be the sum of first n terms of a G.P. whose common ratio is r, then show that, (r-1)(dS_(n))/(dr)=(n-1)S_(n)-nS_(n-1)