Home
Class 12
MATHS
If the third term in the expansion of (1...

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

Text Solution

Verified by Experts

The correct Answer is:
`m = 1/2`
We have,
`(1+x)^(m) = 1+mx+(m(m+1))/(2!) x^(2) + "……"`
Given that the third therm is `-(1//8)^(2)`, hence
`(m(m-1))/(2)x^(2) = =1/8x^(2)`
or `4m^(2) - 4m = -1`
or `(2m-1)^(2) = 0` or `m =1/2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise (Single)|90 Videos

  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise (Multiple)|27 Videos

  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise 8.7|9 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 (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

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

Find the middle term in the expansion of (x+y)^(6) .

Find the middle term in the expansion of (x+y)^(6) .

Find the middle terms in the expansion of (x+y)^(7) .

Find the middle terms in the expansion of (x+y)^(7) .

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

If the sum of the coefficients of the first, second, and third terms of the expansion of (x^2+1/x)^m i s46 , then find the coefficient of the term that does not contain xdot

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

Home
Profile