Home
Class 10
MATHS
If the first three terms of an A.P are b...

If the first three terms of an A.P are b, c and 2b, then find the ratio of b and c

Text Solution

AI Generated Solution

To solve the problem, we need to find the ratio of \( b \) and \( c \) given that the first three terms of an Arithmetic Progression (A.P.) are \( b, c, \) and \( 2b \). ### Step-by-step Solution: 1. **Identify the terms of the A.P.:** The first three terms of the A.P. are given as: \[ a_1 = b, \quad a_2 = c, \quad a_3 = 2b ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    X BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section – B|1 Videos

  • SAMPLE PAPER 2019

    X BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise 22A|1 Videos

  • SAMPLE PAPER 2019

    X BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise 18A|1 Videos

  • CBSE BOARDS 2020

    X BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise QUESTION|41 Videos

  • X Boards

    X BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|481 Videos

Similar Questions

Explore conceptually related problems

Sum of the first p, q and r terms of an A.P are a, b and c, respectively.Prove that a/p(q-r)+b/q(r-p)+c/r(p-q)=0

Sum of the first p, q and r terms of an A.P are a, b and c, respectively.Prove that a/p(q-r)+b/q(r-p)+c/r(p-q)=0

If the first, second and the last terms of an A.P. are a,b,c respectively, then the sum of the A.P. is

If a ,b ,c are first three terms of a G.P. If the harmonic mean of a and b is 20 and arithmetic mean of b and c is 5, then

If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, then show that (a-b)r+(b-c)p+(c-a)q=0

If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, then show that (a-b)r+(b-c)p+(c-a)q=0

If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 terms is (a) 3200 (b) 1600 (c) 200 (d) 2800

If pth,qth and rth terms of an A.P. are a, b, c respectively, then show that (i) a(q-r)+b(r-p)+c(p-q)=0

If the first, second and last term of an A.P. are a ,\ b and 2a respectively, its sum is (a b)/(2(b-a)) (b) (a b)/(b-a) (c) (3a b)/(2(b-a)) (d) none of these

If a ,b ,c ,d are distinct integers in an A.P. such that d=a^2+b^2+c^2, then find the value of a+b+c+d

Home
Profile