Home
Class 12
MATHS
If x^4 occurs in the rth term in the exp...

If `x^4` occurs in the rth term in the expansion of `(x^4+1/(x^3))^(15),` then find the value of `rdot`

Text Solution

Verified by Experts

The correct Answer is:
`r=8`

`T_(r-1) = .^(15)C_(r) (x^(4))^(15-r) (1/(x^(3)))^(r ) = .^(15)C_(r)x^(60-7r)`
`rArr 60 - 7x = 4`
`rArr 8`
Then, the required term in `9^(th)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise 8.4|13 Videos
  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise 8.5|8 Videos
  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise 8.2|10 Videos
  • AREA UNDER CURVES

    CENGAGE|Exercise Question Bank|10 Videos
  • CIRCLE

    CENGAGE|Exercise MATRIX MATCH TYPE|6 Videos

Similar Questions

Explore conceptually related problems

If the third term in the expansion of (1+x)^mi s-1/8x^2, then find the value of mdot

Find the 4^th term in the expansion of (x-2y)^12 .

Find the middle term in the expansion of (3 - 1/(2x))^(10)

Find the 6th term in expansion of (2x^2-1//3x^2)^(10)dot

Find the fourth term in the expansion of (1-2x)^(3//2)""dot

Find the middle terms in the expansion of (x/3 + 9y)^(10)

If (r+1)t h term is the first negative term in the expansion of (1+x)^(7//2), then find the value of rdot

If the middle term in the expansion of (x^2+1//x)^n is 924 x^6, then find the value of ndot

Find the constant term in the expansion of (x-1//x)^6dot

Find the middle terms in the expansion of (3 - x^(3)/6)^(7)