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`
Promotional Banner

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|20 Videos

  • BINOMIAL THEORM

    CENGAGE|Exercise Question Bank|31 Videos

Similar Questions

Explore conceptually related problems

If the third term in the expansion of (1+x)^(m)is-(1)/(8)x^(2), then find the value of m.

Find the third term in the expansion of (x + 2/5 y)^4

Find the middle term in the expansion of (1+x)^(2n)

Find the 7^(th) term in the expansion of (1-2x)^(7)

Find the middle term in the expansion of (x +1/x)^4

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

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

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

Find the middle term in the expansion of (x- 1/(2x))^12