Home
Class 10
MATHS
Find the sum [(a-b)/(a+b)+(3a-2b)/(a+b)...

Find the sum `[(a-b)/(a+b)+(3a-2b)/(a+b)+(5a-3b)/(a+b)+…+"to 12 terms"]`

Text Solution

Verified by Experts

The correct Answer is:
`S_(12) = 6/(a+b) (24a -13b)`
Promotional Banner

Topper's Solved these Questions

  • NUMBERS AND SEQUENCES

    FULL MARKS|Exercise EXERCISE 2.7|12 Videos
  • NUMBERS AND SEQUENCES

    FULL MARKS|Exercise EXERCISE 2.8|10 Videos
  • NUMBERS AND SEQUENCES

    FULL MARKS|Exercise EXERCISE 2.5|14 Videos
  • MENSURATION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (iii)|8 Videos
  • RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)|26 Videos

Similar Questions

Explore conceptually related problems

If (log)_(10)2=a ,(log)_(10)3=bt h e n(log)_(0. 72)(9. 6) in terms of a and b is equal to (a) (2a+3b-1)/(5a+b-2) (b) (5a+b-1)/(3a+2b-2) (c) (3a+b-2)/(2a+3b-1) (d) (2a+5b-2)/(3a+b-1)

If the area of the triangle formed by the points (2a ,b)(a+b ,2b+a), and (2b ,2a) is 2qdotu n i t s , then the area of the triangle whose vertices are (a+b ,a-b),(3b-a ,b+3a), and (3a-b ,3b-a) will be_____

Find the coefficient of a^5 b^7 in (a-2b)^12 .

If a^(2)+b^(2)+c^(2)=1 where, a,b, cin R , then the maximum value of (4a-3b)^(2) + (5b-4c)^(2)+(3c-5a)^(2) is

If 60^a =3 and 60^b=5 then 12^((1-a-b)/(2(1-b))) is equal to

Show that the sequence loga ,log(a b),log(a b^2),log(a b^3), is an A.P. Find its nth term.

If a ,b , in R such that a+b=1a n d(1-2a b)(a ^3+b^3)=12 . The value of (a^2+b^2) is equal to____.

If in the expansion of (a-2b)^(n) , the sum of 5^(th) and 6^(th) terms is 0, then th e values of a//b =