Advertisements
Advertisements
प्रश्न
In the following expansion, find the indicated term.
`(x^2 - 4/(x^3))^11`, 5th term
उत्तर
Here, a = x2 , b = `-(4)/x^3`, n = 11
For 5th term, r = 4
We have, tr+1 = nCr . an–r.br
∴ t5 = `""^11"C"_4(x^2)^(11 - 4).(-(4)/x^3)^4`
= `(11!)/(4!7!)(x^2)^7.(-(4)/x^3)^4`
= `(11 xx 10 xx 9 xx 8)/(4 xx 3 xx 2 xx 1) xx x^14 xx 256/x^12`
= 330 × 256 × x2
= 84480 x2
∴ 5th term in the expansion of `(x^2 - 4/x^3)^11` is 84480 x2
APPEARS IN
संबंधित प्रश्न
In the following expansion, find the indicated term.
`((4x)/5 - 5/(2x))^9`, 7th term
In the following expansion, find the indicated term.
`(3"a" + 4/"a")^13`, 10th term
Find the constant term (term independent of x) in the expansion of `(2x + 1/(3x^2))^9`
Find the constant term (term independent of x) in the expansion of `(sqrt(x) - 3/x^2)^10`
In the expansion of (k + x)8, the coefficient of x5 is 10 times the coefficient of x6. Find the value of k.
Find the term containing x6 in the expansion of (2 − x) (3x + 1)9
Select the correct answer from the given alternatives.
In the expansion of (x2 − 2x)10, the coefficient of x16 is
Select the correct answer from the given alternatives.
The term not containing x in expansion of `(1 - x)^2 (x + 1/x)^10` is
Select the correct answer from the given alternatives.
The number of terms in expansion of (4y + x)8 − (4y − x)8
Answer the following:
Find third term in the expansion of `(9x^2 - y^3/6)^4`
Answer the following:
Find tenth term in the expansion of `(2x^2 + 1/x)^12`
Find the coefficients of x6 in the expansion of `(3x^2 - 1/(3x))^9`.
Find the coefficients of x60 in the expansion of `(1/x^2 + x^4)^18`
Answer the following:
Find the constant term in the expansion of `((4x^2)/3 + 3/(2x))^9`
Answer the following:
If the coefficient of x2 and x3 in the expansion of (3 + kx)9 are equal, find k
Answer the following:
If the constant term in the expansion of `(x^3 + "k"/x^8)^11` is 1320, find k
Answer the following:
Show that there is no term containing x6 in the expansion of `(x^2 - 3/x)^11`
Answer the following:
Show that there is no constant term in the expansion of `(2x - x^2/4)^9`
Answer the following:
State, first four terms in the expansion of `(1 - (2x)/3)^(-1/2)`
Answer the following:
State, first four terms in the expansion of `(1 - x)^(-1/4)`
Answer the following:
State, first three terms in the expansion of `(5 + 4x) ^(-1/2)`
Answer the following:
The 3rd term of (1 + x)n is 36x2. Find 5th term
Answer the following:
Suppose (1 + kx)n = 1 − 12x + 60x2 − .... find k and n.
The greatest value of the term independent of x in the expansion of (x sin p + x–1 cos p)10, p ∈ R is ______.
