Home
Class 12
MATHS
If the sum of coefficients in the expans...

If the sum of coefficients in the expansion of `(x-2y+3z)^n` is 128, then find the greatest coefficient in the expansion of `(1+x)^ndot`

Text Solution

Verified by Experts

The correct Answer is:
`.^(7)C_(3)` or `.^(7)C_(4)`
Sum of the coefficient in the expansion of
`(x-2y+3z)^(n)` is `(1-2+3)^(2) = 2^(n)` (putting `x = y = z = 1`)
`:. 2^(n) = 128` or `n = 7`
Therefore, the greatest coefficient in the expansion of `(1+x)^(7)` is `.^(7)C_(3)` or `.^(7)C_(4)` because both are equal to `35`.
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Concept Application Exercise 8.5|8 Videos

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Concept Application Exercise 8.6|10 Videos

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Concept Application Exercise 8.3|7 Videos

  • AREA

    CENGAGE PUBLICATION|Exercise Comprehension Type|2 Videos

  • CIRCLE

    CENGAGE PUBLICATION|Exercise For problems 3 and 4|2 Videos

Similar Questions

Explore conceptually related problems

Find the greatest coefficient in the expansion of (1+2x//3)^(15)dot .

If the sum of the coefficients in the expansion of (a+b)^(n) is 4096, then the greatest coefficient in the expansion is-

If the sum of coefficient of first half terms in the expansion of (x+y)^n is 256 , then find the greatest coefficient in the expansion.

If the sum of the coefficients in the expansion of (a+b)^n is 4096, then the greatest coefficient in the expansion is a. 924 b. 792 c. 1594 d. none of these

If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa and if the sum of the coefficients in the expansion of (1+x^2)^n is b , then a. a=3b b. a=b^3 c. b=a^3 d. none of these

The greatest coefficient iin the expansion of (x+y+z+t)^(15) is

The sum of the coefficient in the expansion of (1+ax-2x^(2))^(n) is

Find the coefficient of x^6y^3 in the expansion of (x+2y)^9

Coefficient of x^n in the expansion of (a+x)^(2n)

Coefficient of x^n in the expansion of (1+x)^(2n) is